Finding The Numerators Of Equivalent Fractions free online Math quizzes

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Fractions form an equivalent set if their representation after simplification is same. For example, 2/3 is equivalent to 10/15 because, in the fraction 10/15, there is a common factor 5 to both the numerator and denominator. After removing the factor 5, the fraction becomes 2/3 which is the same as the former of the given two fractions. In this quiz, the numerator is removed for one of the fractions and the child is required to find it based on the equivalent fractions concept. Questions are simple and solving them will give a good idea of how exactly the equivalent fractions work.

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.