Finding Denominators Of Equivalent Fractions basic Mathematics quiz

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Two fractions are said to be equivalent if one of the fraction could be simplified and that result is equal to the other fraction. In this quiz, the equivalent fraction concept is being questioned by asking to fill the denominator place of a fraction whose presence will make the fractions present on either side of the equal symbol equivalent. To arrive at a solution, the candidate will have to eliminate the common factors in one of the fractions where there is a possibility and then see if the numerators match. If so, then the denominator is the same. A good practice would be helpful to learn more.

How to find denominator in equivalent fractions

A denominator is the bottom number of a fraction that tells us how many parts the whole is divided into. In order to find the denominator of an equivalent fraction, we need to understand what equivalent fractions are. Equivalent fractions are fractions that have the same value, even though their numerators and denominators may be different.

For example, 1/2 is equivalent to 2/4. Even though the numerators (1 and 2) and denominators (2 and 4) are different, both fractions represent the same value (half).

To find the denominator of an equivalent fraction, we 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 we want to find the denominator of the equivalent fraction of 3/4, we can start by finding a common denominator of 4. We can multiply the numerator and denominator of the original fraction by different numbers to make the denominators the same, while not changing the value of the fraction.

For example, we can multiply the original fraction 3/4 by 2/2 which results in 6/8. Now the denominator of the equivalent fraction is 8.

Another way to find the denominator of equivalent fractions is to use the property of equivalent fractions, which states that when you multiply the numerator and denominator of a fraction by the same number, the value of the fraction stays the same.

For example, if we want to find the denominator of the equivalent fraction of 2/5, we can multiply the numerator and denominator by the same number, like 3. Now we have 6/15. The denominator of the equivalent fraction is 15.

It’s important to note that when finding an equivalent fraction, it’s always a good idea to reduce the fraction to its simplest form, which means that the numerator and denominator have no common factors other than 1. For example, 6/8 can be reduced to 3/4.

Here are some examples of finding denominator of equivalent fractions: 1/2 is equivalent to 2/4, so the denominator is 4 3/5 is equivalent to 6/10, so the denominator is 10 5/6 is equivalent to 30/36 so the denominator is 36

It’s important to remember that equivalent fractions can have different denominators. The important thing is that the value of the fraction stays the same. By finding a common denominator or by using the property of equivalent fractions, we can easily find the denominator of an equivalent fraction.

I hope this helps. Remember that practice and repetition are key to understanding fractions, so be sure to have your child practice finding denominators of equivalent fractions.