Archive for category: 3rd Grade Quizzes

Learn to multiply whole number with fraction

Multiplying whole numbers by fractions is a way to find a new quantity that is a part of the original quantity. To multiply a whole number by a fraction, you need to use the following steps:

1. Write the whole number next to the fraction.
2. Multiply the whole number by the numerator (the top number) of the fraction.
3. Leave the denominator (the bottom number) of the fraction alone.

For example, to multiply 3 by 3/4, we would write: 3 x (3/4)

3 x 3 = 9

9 is the new number.

The answer is 9/4

Another example, 5 x (2/3) = (5 x 2) / 3 = 10/3

You can also think of it as breaking down the whole number into parts defined by the fraction.

For example, if you have 5 apples, and you want to know how many apples you will have if you divide them into 4 equal parts, you would write: 5 x (1/4) = (5 x 1) / 4 = 5/4

This means that you would have 1 and 1/4 apples in each part, and if you put them all together again you would have 5 apples again.

It’s important to remember that when you multiply a whole number by a fraction, the answer is still a fraction. So when we do 5 x (2/3), the answer is 10/3. It’s not 10.

Another way you can think of it is when you multiply whole number by a fraction, the whole number is being divided by the denominator and multiplied by numerator.

You might also want to know that, when you multiply a whole number by a fraction greater than 1, the answer will be greater than the original whole number, and when you multiply a whole number by a fraction less than 1, the answer will be less than the original whole number.

Overall, multiplying whole numbers by fractions is a way to find out how much of a quantity you will have if you divide it into smaller parts.

Teaching kids multiplication of two fractions

When you want to multiply two fractions together, it’s important to remember that the fractions must have the same denominator, which is the bottom number. The denominator tells you how many parts the whole is divided into, and the numerator tells you how many of those parts you have.

To multiply two fractions with the same denominator, you simply multiply the numerators (top numbers) together and write the result over the same denominator. For example, if you want to multiply 1/4 x 2/4, you would take 1 x 2 = 2 and write the result over the same denominator of 4:

1/4 x 2/4 = 2/4 = 1/2

When the fractions have different denominators, you can use a technique called finding a common denominator. A common denominator is a number that can be divided evenly by the denominators of both fractions.

For example, if you want to multiply 2/3 x 4/5, the denominators are 3 and 5. A common denominator that can be divided evenly by both 3 and 5 is 15. So you will convert 2/3 and 4/5 to have common denominator 15, 2/3 becomes 2/3 x 5/5 = 10/15 4/5 becomes 4/5 x 3/3 = 12/15

Now you can easily multiply these fractions

10/15 x 12/15 = 120/225

It’s important to remember that when you multiply fractions, you multiply the numerators together and the denominators together. And also it is always good practice to reduce the final fraction to lowest terms, so that the numerator and denominator have no common factors other than 1.

Here are some more examples of multiplying fractions:

1/2 x 1/3 = (1 x 1)/(2 x 3) = 1/6 2/5 x 3/7 = (2 x 3)/(5 x 7) = 6/35

And here’s an example of multiplying a fraction and a whole number

2 x 3/4 = (2 x 3)/(2 x 4) = 6/8 = 3/4

It’s important to note that when you multiply a fraction by a whole number, it is equivalent to dividing the whole number into the fraction.

You can also use an algorithm called distributive property to multiply a whole number by a fraction. The distributive property states that you can use the distributive property to multiply any whole number by a fraction, it’s the same as dividing the whole number by the denominator and then multiplying by the numerator.

To help remember these steps, you can use this acronym: FOIL

• F: First
• O: Outer
• I: Inner
• L: Last

For example, to multiply (4/5) x (3/4) 4/5 x 3/4 = (4 x 3) / (5 x 4) = 12/20

Another way to see this is to see the visual representation of the fractions, and then multiplying the parts that are being overlayed.

How to use fractions on bar graphs

A bar graph is a way to show information using bars of different heights. Fractions can be used on a bar graph to show how much of a whole is represented by a certain amount. To make a bar graph with fractions, you can follow these steps:

1. Decide on the information you want to show on your graph, and list it in the form of fractions. For example, if you want to show how many pieces of fruit you have, you might list the fractions 1/4, 2/5, and 3/8.
2. Choose a scale for your bar graph. The scale is the amount of space you will use to represent each fraction. For example, you might decide that each unit of space on your graph represents 1/10 of the whole.
3. Draw the x-axis and y-axis on your graph paper. The x-axis will represent the different fractions, and the y-axis will represent the scale you chose.
4. Draw the bars on your graph by measuring the heights of each bar according to the scale. For example, if you want to show 1/4 on your graph, you would measure out 4 units on the y-axis and then draw a bar across the 1/4 space on the x-axis.
5. Label the x-axis and y-axis with the fraction and the scale respectively, so that people can understand your graph.
6. You can also include a title on the top of your graph that explains what the graph is about.

For example, let’s say you have a basket with apples and oranges and you want to show how many of each fruit you have. You can use a bar graph.

On the x-axis, you write “Apples” and “Oranges” and on the y-axis, you write the scale (1/4, 1/3 etc).

You find that you have 3/4 of apples and 2/5 of oranges in your basket.

You draw 3/4 unit of apple bar and 2/5 unit of orange bar.

It’s important to keep in mind that in a bar graph, the heights of the bars should always be proportional to the fraction they represent, and that the bars should be labeled with the fraction they represent.

When you are making a bar graph with fractions, it’s also important to use a consistent scale so that the relative sizes of the bars accurately reflect the fractions they represent.

Overall, bar graphs are a useful tool for showing information, and fractions can be used on a bar graph to show how much of a whole is represented by a certain amount. By following these steps, you can easily create a bar graph that shows the information you need to communicate.

How to find numerator in equivalent fractions

A fraction is made up of two parts: the numerator (the top number) and the denominator (the bottom number). To find the numerator of an equivalent fraction, you need to understand the concept of equivalent fractions.

Equivalent fractions are fractions that have the same value, even though the numerator and denominator may be different. For example, 1/2 and 2/4 are equivalent fractions, because both of them represent the same amount (half of something).

There are different ways to find the numerator of an equivalent fraction. Here are two methods:

Method 1:

1. Write down the original fraction.
2. Write down the denominator of the equivalent fraction.
3. Multiply the numerator of the original fraction by the same number that you used to find the denominator of the equivalent fraction.

For example, if you want to find the numerator of an equivalent fraction of 1/2, and you know that the denominator is 4, you would do the following:

1. Write down the original fraction 1/2.
2. Write down the denominator of the equivalent fraction 4.
3. Multiply the numerator of the original fraction (1) by the same number that you used to find the denominator of the equivalent fraction (4).
4. So the numerator of the equivalent fraction is 4.

Method 2:

1. Write down the original fraction.
2. Write down the denominator of the equivalent fraction.
3. Divide the denominator of the original fraction by the denominator of the equivalent fraction.
4. Multiply the numerator of the original fraction by the result from step 3.

For example, if you want to find the numerator of an equivalent fraction of 1/2, and you know that the denominator is 4, you would do the following:

1. Write down the original fraction 1/2.
2. Write down the denominator of the equivalent fraction 4.
3. Divide the denominator of the original fraction by the denominator of the equivalent fraction (2/4 = 1/2)
4. Multiply the numerator of the original fraction (1) by the result from step 3 (1 x 1 = 1)
5. So the numerator of the equivalent fraction is 1.

It’s important to remember that the numerator and denominator of an equivalent fraction will always have a multiplication relationship, they might be multiplied by different numbers but the product will always be same.

Another thing to remember is that, When the numerator of a fraction is multiplied by a certain number, the denominator of that fraction also needs to be multiplied by the same number in order to have an equivalent fraction. This is because the value of a fraction is determined by both the numerator and the denominator, and when one of them changes, the other one needs to change as well.

Overall, Finding the numerator of an equivalent fraction is a way to find a different representation of a fraction that has the same value. By following the methods outlined above, you can easily find the numerator of an equivalent fraction and understand the relationship between the numerator and denominator of a fraction.

How to divide mixed fractions?

When you divide one mixed fraction by another mixed fraction, you are trying to find out how many times one fraction goes into another fraction. To divide mixed fractions, you need to use the following steps:

1. Write the mixed fractions next to each other, with the one you are dividing by on the bottom.
2. Change the second mixed fraction (the one on the bottom) into a whole number by multiplying the whole number part by the denominator and adding the numerator.
3. Multiply the numerator of the first mixed fraction by the whole number from step 2.
4. Divide the result from step 3 by the product of the numerator of the second mixed fraction and the denominator of the first mixed fraction.
5. Simplify the fraction if possible.

For example, let’s say we want to divide 3 1/2 by 2 3/4: 3 1/2 / 2 3/4 First step, we change the mixed fraction 2 3/4 into a whole number by multiplying the whole number part (2) by the denominator (4) and adding the numerator (3). So 2 x 4 + 3 = 11 Second step, we multiply the numerator of the first mixed fraction (3) by the whole number from step 1 (11) = 33 Third step, we divide the result from step 2 (33) by the product of the numerator of the second mixed fraction (3) and the denominator of the first mixed fraction (4) = 33/12 Fourth Step, we simplify the fraction if possible, in this case the numerator and denominator share a factor of 3, so the final answer will be 33/12 = 11/4

It’s important to remember that when you divide mixed numbers, the answer will be a fraction rather than a mixed number. Also, when you divide mixed fractions, it’s important to simplify the final answer as much as possible by finding a common denominator and dividing both the numerator and denominator by any common factors they may have.

Also, when you are dividing fractions, you should always invert the second fraction (the one on the bottom) and then multiply it by the first fraction. The Inverting means, you need to flip the numerator and denominator of the second fraction and multiply it by the first fraction.

Another way you can think of it is, you are dividing how many times one quantity goes into the other quantity.

Overall, division of mixed fractions by mixed fractions is a way to find out how many times one fraction goes into another fraction. It’s a bit more complex than just dividing whole numbers or normal fractions, but by following the steps outlined above, it can help you find the correct answer.