Divide Fractions By Whole Numbers free online Math quizzes

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Dividing fractions could be hectic if there is no practice on them. Here in this quiz, the child gets a good exposure to the division of fractions by whole numbers. To divide a fraction by a whole number, one has to assume the whole number also as a fraction with the number being numerator and one being the denominator. To divide both fractions now, the whole number fraction has to be inverted and then multiplied by the original fraction. Few simplifications are needed to be done like removing the common factors between numerator and denominator.

Teaching division of fractions by whole numbers

Dividing fractions by whole numbers is a way to find out how many parts of a certain size you will have if you divide them into equal groups. To divide a fraction by a whole number, you need to use the following steps:

  1. Write the fraction over the whole number.
  2. Flip the whole number, or turn it into its reciprocal, which is the same thing as dividing 1 by the whole number.
  3. Multiply the fraction by the reciprocal.

For example, let’s say you want to divide 2/3 by 2: 2/3 / 2 You need to flip the whole number 2, which will give you 1/2 Then, you multiply the fraction 2/3 by the reciprocal 1/2. 2/3 * 1/2 = (2 x 1)/(3 x 2) = 2/6 = 1/3

Another example 4/5 / 3 = 4/5 x 1/3 = 4/5 * 1/3 = 4/15

You can also think of it as breaking down the fraction into parts defined by the whole number. For example, if you have 4/5 of a pizza, and you want to know how many slices of pizza you will have if you divide it into 3 equal parts, you would write: 4/5 / 3 = (4/5) x (1/3) = 4/15

It’s important to remember that when you divide a fraction by a whole number, the answer is still a fraction. So when we do 2/3 / 2, the answer is 1/3. It’s not 1.

Another thing to remember is that when you divide a fraction by a whole number, you are essentially multiplying the fraction by the reciprocal of that whole number.

Also, when you divide a fraction by a whole number, it’s important to simplify the final answer as much as possible by dividing both the numerator and denominator by any common factors they may have.

Overall, dividing fractions by whole numbers is a way to find out how many parts of a certain size you will have if you divide them into equal groups. By following the steps outlined above, you can easily divide fractions by whole numbers and understand how they relate to each other.

Converting Fractions To Decimals easy Math quiz

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In this quiz, the child has to convert the given fraction into decimals. In order to do that, the child has to perform a long division on the numerator which should be divided by the denominator. For example, if there is a number such as 4/5 and if it needs to be converted to decimal, then 4 shall be divided by 5, and the answer is 0.8. In this process, the child will learn division as well as the main essence in fractions and decimals. By the end of the quiz, the child will find it easy to do conversions between fraction and decimals.

Teaching students converting fraction into decimals

A decimal is a way of writing a number that includes a decimal point, which separates the whole number part from the fractional part. To convert a fraction to a decimal, we need to divide the numerator (the top number) by the denominator (the bottom number) using a calculator or long division.

For example, to convert the fraction 3/4 to a decimal, you would divide 3 by 4. The result would be 0.75.

In the above example, the numerator 3 represents the amount of pieces we have and denominator 4 represents the total number of pieces in the whole, so dividing the numerator by denominator represents how many parts of the whole we have.

Another example, to convert the fraction 2/5 to a decimal, you would divide 2 by 5. The result would be 0.4

It’s also important to note that some fractions terminate (like 1/4 = 0.25) or repeat (like 1/3 = 0.333333..) when converted to decimal.

Sometimes, when a fraction doesn’t simplify to a finite decimal, it’s necessary to round it to a certain number of decimal places.

For example, the fraction 1/3 = 0.3333… when converted to a decimal. To round it to the nearest thousandth, we look at the number in the thousandth place (the third digit after the decimal point), in this case 3. Since 3 is greater than or equal to 5, we round up the number in the hundredth place, which is 0.333 and becomes 0.333 +0.001 =0.334.

It’s important to remember that converting fractions to decimals is a helpful way to compare and understand numbers. And also practice converting different fractions to decimals.

I hope this explanation helps you understand how to convert fractions to decimals. Remember that practice and repetition are key, so be sure to have your child practice converting different fractions to decimals and rounding them to the desired decimal places.

Converting Decimals To Fractions easy Math test

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A decimal is an elongated representation of a fraction. Most of the decimals can be converted into fractions. There is a good and sound technique to do this task. For example, assume there is a number such as 0.3. If one has to convert it into a fraction, the child has to first observe how many decimals are there after the point. Here, in this case, there is only one decimal. If there is single decimal, remove the point and write it in a division from where the numerator is 3 and the denominator is 10. If there are two decimals then the denominator will be 100, if three decimals 1000 and so on. So the fraction that is equivalent to 0.3 is 3/10. In few cases, there is a need to simplify the fraction by cutting down each of them with a common factor.

Teaching kids decimal to fraction conversion

Converting decimals to fractions can be a little tricky, but once you understand the process, it’s not so difficult! A decimal is a way of writing a number that is not a whole number, like 2.5, 0.75, or 8.333. A fraction is a way of writing a number that represents a part of a whole, like 1/2, 3/4, or 5/6. To convert a decimal to a fraction, we will use the following steps:

  1. Write the decimal as a fraction with a denominator of 1. For example, 0.75 would be written as 0.75/1.
  2. Multiply both the numerator and denominator of the fraction by a power of 10 to make the denominator a whole number. In the example above, we would multiply both the numerator and denominator by 100 to get 75/100.
  3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor. In the example above, 75 and 100 share a common factor of 25, so we can divide both the numerator and denominator by 25 to get 3/4.

Let’s try an example: Convert 0.333 to fraction:

  1. Write the decimal as a fraction: 0.333/1
  2. Multiply both the numerator and denominator of the fraction by a power of 10 to make the denominator a whole number: 0.333*3=0.999/3
  3. Simplify the fraction: The numerator and denominator share a common factor of 3, so we can divide both the numerator and denominator by 3 to get 1/3

For kids it may be helpful to practice it with more examples as well as a visual demonstration of how we can convert decimals to fractions, such as with the use of a number line where the decimal is located between two other numbers and its position on the number line represents its fraction value.

It’s important to note that not every decimal is able to convert to a simplified fraction. Some decimal values will have repeating patterns and may yield fractions with big denominators, which is called repeating decimal.

Convert Ratios To Fractions Quiz for students

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Converting between ratios and fractions is a little bit tedious because there are a lot of tricks going into it. To convert a ratio to a fraction an example could help the situation. If there is a ratio 3:5 then one has to add the numerator 3 and denominator 5 which yields the sum of 8. Hence the fraction is actually 3/8. Though tricky, consistent practice will make it easy to work and the students would enjoy it. In this quiz, there are multiple choices to aid the child in picking the answer without being driven by fear of the procedure involved here.

How to convert ratios and fractions?

A ratio is a way of comparing two or more numbers. Ratios are often written in the form of a:b, where a and b are whole numbers. To convert a ratio to a fraction, we can use the numbers in the ratio to create a fraction with a numerator of the first number in the ratio and a denominator of the second number in the ratio.

For example, let’s say we have the ratio of 3:4. To convert this ratio to a fraction, we write 3 as the numerator and 4 as the denominator: 3:4 = 3/4

Another example, let’s say we have the ratio of 5:8. To convert this ratio to a fraction, we write 5 as the numerator and 8 as the denominator: 5:8 = 5/8

It’s important to remember that a ratio is a way to compare two or more numbers, while a fraction is a way to represent a part of a whole. Therefore, a ratio can be converted to a fraction as long as the numbers used in the ratio are integers.

You can also simplify the fraction obtained by dividing numerator and denominator with their greatest common divisor (GCD)

For example, let’s say we have the ratio of 6:10. To convert this ratio to a fraction, we write 6 as the numerator and 10 as the denominator: 6:10 = 6/10 =3/5 (using GCD of 6 and 10 is 2)

It’s also important to note that when converting ratios to fractions, it’s often a good idea to write the fraction in its simplest form.

Here are some more examples of converting ratios to fractions: 4:6 = 2/3 7:9 = 7/9 10:12 = 5/6

It’s important to remember that ratios are often used in real-world situations and the ability to convert ratios to fractions is helpful in understanding those situations.

I hope this explanation helps you understand how to convert ratios to fractions. Remember that practice and repetition are key, so be sure to have your child practice converting different ratios to fractions and simplifying them.

Convert Fractions To Ratios Online Quiz

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Ratios are one form of representation of data. The difference between the fraction and ratios is that to write a ratio we use colon while a fraction has a line. Ratios are good to show a comparison of two or more things against each other. This quiz aims to let the children be familiar with what are ratios and how a fraction could be converted into ratios. The questions are simple and straightforward. To find out the ratio of a given fraction, the kid has to start in a reverse manner where each of the choices given is needed to be considered and then add the numerator and denominator. For example for a fraction 2/5, the appropriate choice could be 2:3 since 2/(2+3) gives the fraction back.

How to Convert Fractions To Ratios ?

A fraction is a way to express a part of a whole, using numbers. For example, if you have a pizza and you want to share it with 3 of your friends, you would divide the pizza into 4 equal pieces, and give each of your friends one piece. The fraction 1/4 represents one out of the four pieces of pizza, or one-fourth of the pizza.

A ratio, on the other hand, is a way to compare two or more quantities. For example, if you have 3 apples and 2 oranges, the ratio of apples to oranges is 3:2. This means that for every 3 apples, there are 2 oranges.

To convert a fraction to a ratio, you simply write the fraction as a ratio of two numbers, with a colon (:) between them. For example, to convert the fraction 1/4 to a ratio, you would write it as 1:4. This means that for every 1 part, there are 4 parts.

When converting the fraction you need to keep in mind that to express the fraction as ratio you can simplifying it to the simplest form.

For example:

  • The fraction 3/6 can be simplified as 1/2, so the ratio would be 1:2
  • The fraction 2/4 = 1/2, so the ratio would be 1:2

It is also important to keep in mind that when you convert a fraction to a ratio, you are expressing the same value, just in a different way.

So, the main idea is that a fraction is a way to express a part of a whole and a ratio is a way to compare two or more quantities, and converting a fraction to a ratio can be done by just writing the fraction as a ratio of two numbers, with a colon (:) between them and make sure that the fraction is simplified as much as possible before converting to a ratio.

Comparison Of Mixed Fractions Quiz for students

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Mixed fractions can be compared against each other by converting them into standard fractions in the first place and then following the basic principles of comparing two fractions. The conversion is fairly simple where the child will be multiplying the denominator by the whole number that is present adjacent to it and then adding the product to the numerator. The resulting fraction is the sum as the numerator and the denominator is the same. Here the child has to keep converting them to fraction and then compare numbers by placing relevant comparison symbols which could be greater than, equals or less than symbols.

Learn to compare mixed fractions

Mixed fractions, also known as mixed numbers, are a combination of a whole number and a fraction. For example, the mixed fraction “3 1/4” represents the number 3 and 1/4. It’s written as a whole number, a space, a numerator, and a denominator. The whole number is the number to the left of the space, and the numerator and denominator represent the fraction to the right of the space.

In order to compare mixed fractions, we first have to convert them to improper fractions. An improper fraction is a fraction where the numerator is larger than the denominator, like 7/4. To convert a mixed fraction to an improper fraction, we use the following steps:

  1. Multiply the whole number part of the mixed fraction by the denominator of the fraction part. For example, in the mixed fraction “3 1/4”, we would multiply 3 by 4, which equals 12.
  2. Add the product from step 1 to the numerator of the fraction part. In the example above, we would add 12 to 1, which equals 13.
  3. Write the sum from step 2 over the denominator of the fraction part. In the example above, the improper fraction is 13/4.

Once the mixed fractions have been converted to improper fractions we can use the same method as comparing regular fractions, which is to compare the numerator and denominator.

Here is an example: Suppose we have two mixed fractions: “4 2/5” and “5 3/4”

  1. Converting them to improper fractions: 4 2/5 = 45 + 2 = 22/5 and 5 3/4 = 54 + 3 = 23/4
  2. Compare the numerators and denominator: 22/5 is greater than 23/4

It’s important to note that the above method only works if the denominators are the same, which is why we have to convert the mixed fractions to improper fractions first. If the denominators are different, you can use the above method and find a common denominator before comparing.

Another way to compare mixed fractions is to convert them to decimals. We do this by dividing the numerator by the denominator and adding the whole number part. For example, the mixed fraction “3 1/4” would convert to a decimal of 3.25. Once the mixed fractions are in decimal form, it’s easy to compare them just like we do with any decimal number.

It’s also important to note that not all the decimal representation of mixed fractions are exact. And should be rounded as appropriate.

Practicing with a few examples and also by showing them on a number line will help kids better understand and make comparisons between mixed fractions easier.

Comparison of Improper Fractions Quiz for students

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Improper fractions are those variants of the fraction which have numerator greater than the denominator. In this quiz, the child has to compare the given set of improper fractions and answer the relevant relationship expression between them. A relationship between any two numbers could be one of the three which are greater than, equals and less than. Here, the child has to utilize the concepts of improper fractions he or she has learned so far and made a proper judgment of the relationship symbol that has to come between the two fractions. A good practice is required to get a grip.

What are improper fractions and how to compare them?

An improper fraction is a fraction where the numerator (the top number) is larger than the denominator (the bottom number). For example, 7/4 is an improper fraction because 7 is greater than 4.

Comparing improper fractions is just like comparing any other fractions. To compare two improper fractions, we compare the numerators (top numbers) first. If the numerators are the same, we then compare the denominators (bottom numbers). If the numerator of one fraction is greater than the numerator of the other fraction, then that fraction is greater. If the numerators are the same, and the denominator of one fraction is greater than the denominator of the other fraction, then the fraction with the smaller denominator is greater.

Here’s an example: Suppose we want to compare the improper fractions 7/4 and 6/3

  1. Compare the numerators: 7 is greater than 6, so 7/4 is greater than 6/3

Another way to compare improper fractions is to convert them to mixed numbers. A mixed number is a combination of a whole number and a fraction. To convert an improper fraction to a mixed number, we use the following steps:

  1. Divide the numerator by the denominator
  2. Write the whole number part of the result in front of the fraction.
  3. Write the remainder as the numerator over the original denominator

For example, to convert 7/4 to a mixed number, we divide 7 by 4 to get 1 with a remainder of 3. So 7/4 can be written as 1 3/4 which is a mixed number.

Once the improper fractions are in mixed number form, it’s easy to compare them just like we do with any whole number.

It’s important to note that not all the mixed numbers representation of improper fractions are exact. And should be rounded as appropriate.

Practicing with a few examples and also by showing them on a number line will help kids better understand and make comparisons between improper fractions easier. It’s also a good idea to review the concept of simplifying fractions, as kids may need to simplify fractions in order to compare them.

It’s also important to remind kids that fractions and mixed numbers are also used to represent quantities and values, so comparing them will give them an understanding of greater and smaller amounts, that could be applied in everyday life as well.

Compare Two Fractions With Large Numerators – Denominators Math Quiz Online

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Comparing two numbers is altogether a different picture when it comes to a fraction. A lot of things have to be considered before drawing a conclusion. Between two given fractions it is important to notice both the behaviors of numerator and denominator. To let a number be bigger than the other, the numerator has to be larger comparing to its counterpart and the denominator has to be smaller. This quiz attempts to normalize the pain that is involved in comparing fractions through practice. 

Learn to compare two fractions with large numerator or denominator

When comparing two fractions, it’s important to make sure that both fractions have the same denominator (the bottom number). If the denominators are different, you’ll need to find a common denominator before you can compare the fractions. A common denominator is a number that both denominators can be divided by evenly.

For example, let’s say you want to compare the fractions 3/4 and 5/6. The denominators are 4 and 6, which are not the same. To find a common denominator, you can think of the smallest number that is a multiple of both 4 and 6, which is 12. This means that you’ll need to multiply both the numerator and denominator of the first fraction by 3, and the numerator and denominator of the second fraction by 2, so that both fractions have a denominator of 12. So the first fraction becomes 9/12, and the second becomes 10/12. Now you can compare the fractions because they have the same denominator.

Another way to find a common denominator is by finding the least common multiple (LCM) of the denominators. To find the LCM you can use prime factorization method, where you write down both denominators as the product of prime numbers and then take the highest exponent of each prime in both numbers and multiply the primes together.

For example, 4 = 2 x 2 and 6 = 2 x 3, so the LCM of 4 and 6 is 2^2 * 3 = 12.

Once the fractions have the same denominator, you can compare the numerators (the top numbers) directly. Whichever numerator is larger, that fraction is larger. For example, in the case of 9/12 and 10/12, 10/12 is the larger fraction because 10 is greater than 9.

It’s also important to keep in mind that when comparing large numerators and denominators, you could simplify the fractions by dividing both the numerator and denominator by the greatest common factor, which is the largest number that divides into both numbers without leaving a remainder, it will make it easier to compare them.

For example, when comparing the fractions 48/72 and 42/56, the GCD of 48 and 72 is 24, so the first fraction can be simplified to 2/3 and the GCD of 42 and 56 is 14 so the second fraction can be simplified to 3/4.

In short, when comparing two fractions with large numerators and denominators, first you need to find a common denominator by either multiplying the numerator and denominator of each fraction by different number or by finding the least common multiple (LCM) of the denominators. Then you can compare the fractions by comparing the numerators directly. And lastly, simplify the fraction to make it easier to compare them.

Circle graphs Quiz for students

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This quiz is really attention-grabbing one because there is a fair lot of questions and activities to do. Prior to entering into the quiz, a situation is described and the questions are based on this. It improves the comprehension reading skills of the child to some extent. There is a pie chart in every question that is divided into proportions based on percentage and then it is asked to find the relevant answer. In this process, the candidate will be learning the fractional part that translates into percentages and at the same time comparison techniques as well.

Learn about circle chart or pie chart

A circle graph, also known as a pie chart, is a way to show information by breaking it up into parts of a whole. Each part of the information is shown as a “slice” of a circle. The size of each slice shows how big that part of the information is compared to the whole.

Circle graphs are a great way to show information that is divided into parts, like how much time you spend on different activities in a day, or what percentage of people in a survey prefer different types of pizza.

To make a circle graph, we first need data or information that can be divided into parts. We then divide the whole circle into parts based on the information we have. The size of each slice of the circle is determined by the size of the part of the information it represents. The size of each slice is determined by the percentage of the whole that it represents.

Here’s an example: Suppose we have a survey asking people what their favorite ice cream flavor is. The results are:

  • vanilla: 25%
  • chocolate: 35%
  • strawberry: 20%
  • mint: 10%
  • other: 10%

To make a circle graph, we would:

  1. Draw a circle
  2. Divide the whole circle into parts based on the percentages. Vanilla would be 25%, chocolate would be 35%, strawberry would be 20%, mint would be 10% and other would be 10%.
  3. Draw each slice of the circle, representing each flavor.
  4. Label the slices with the name of the flavor and the percentage of the whole that it represents.

It’s important to note that in the end all the percentages should add up to 100%.

Circle graphs can be a great tool for kids to visualize and compare different parts of a whole. It’s a good idea to practice with a few examples and also show kids real-world examples of circle graphs such as in newspaper, magazines or websites.

It’s also important to note that sometimes, due to lack of space, a sector of a circle may not be able to depict the exact percentage and may be slightly off, that’s why it’s essential to label the data and percentages on the graph as well.

Additionally, it’s a good idea to compare the data represented in a circle graph with other type of representation, such as bar graphs, line graphs and tables, to give a more comprehensive understanding of data.

Overall, working with circle graphs can help kids understand and interpret data in a visual way, an important skill for their future studies and life.

Addition Of Fractions With Common Denominators basic Mathematics quiz

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Fraction is a type of number that has components as denominator and numerator. The number that lies above the line is called numerator and the one that lies below is called denominator. To add or subtract fractions it is necessary to have the denominator as same. In this quiz there are questions which require the child to solve the problems of adding two fractions and to ease it a bit, denominators are common in either of the numbers. The child has to simply add the numerator and the answer would be that sum by the denominator.

Adding fractions with common denominator for kids

Adding fractions can seem tricky at first, but it’s actually pretty simple once you understand the basic concept. When adding fractions, it’s important to make sure that the fractions have the same denominator (the bottom number). If the denominators are different, you’ll need to find a common denominator before you can add the fractions.

For example, let’s say you want to add the fractions 2/3 and 1/3. The denominators are already the same, so you can add the fractions directly. To add the fractions, you simply add the numerators (the top numbers) and keep the denominator the same. So, in this case:

(2/3) + (1/3) = (2 + 1)/3 = 3/3

Because both fractions have the same denominator (3), we can simply add their numerators to find the numerator of the answer.

3/3 is a special case because 3/3 is the same as 1. If a numerator is equal to the denominator, it will be the same as 1.

It’s worth mentioning that when you are adding fractions with common denominators, it does not matter if the fractions are simplified or not, because the denominator is common for both and the numerator just needs to be added up.

For example:

  • (5/12) + (3/12) = 8/12 = 2/3
  • (6/8) + (4/8) = 10/8 = 5/4

When adding fractions with common denominators, it is also important to simplify the final answer by dividing the numerator and denominator by their greatest common factor (GCF). The GCF is the largest number that divides into both the numerator and denominator without leaving a remainder.

For example, when adding fractions (12/15) + (8/15), you get 20/15, if you divide both 20 and 15 by their GCF 5, you get the simplified fraction 4/3.

It’s also worth noting that adding fractions can also be done by converting the fractions to equivalent fractions, this method can be helpful if the denominators of the fractions are large and hard to work with. The concept is that instead of changing the denominator to a common denominator, you change the numerator of one of the fractions in such a way that the denominator remains the same, but the value of the fraction is the same as the other.

For example,

  • (1/4) + (1/8) = (1/4) + (2/8) = (3/8)
  • (3/5) + (4/10) = (3/5) + (8/20) = (11/20)

In conclusion, Adding fractions is a simple process when the denominators are the same, just add the numerators, and keep the denominator the same. In case the denominators are different, you need to find a common denominator by multiplying the numerator and denominator of each fraction by different numbers or by finding the least common multiple (LCM) of the denominators. And it’s important to remember that the final result should be simplified by dividing the numerator and denominator by their GCF. If the denominators are large you can use equivalent fractions method to add the fractions and keep the denominators the same.