Verify Equivalent Fractions


How to verify equivalent fractions?

If two fractions are equivalent, then the product of one’s numerator and the other’s denominator is equal to the product of one’s denominator and the other numerator.

Consider two fractions 1/3 and 4/12

1 × 12 = 12

3 × 4 = 12

1 × 12 = 3 × 4.

So, 1/3 and 4/12 are equivalent fractions.

Worked-out examples to verify equivalent fractions:

1. Write five equivalent fractions of 4/5.

The five equivalent fractions of 4/5 are:

4 × 2/5 × 2 = 8/10

4 × 3/5 × 3 = 12/15

4 × 4/5 × 4 = 16/20

4 × 5/5 × 5 = 20/25

4 × 6/5 × 6 = 24/30

Therefore, 8/10, 12/15, 16/20, 20/25 and 24/30 are the equivalent fractions.


2. Are the following two fractions equivalent?

(i) 2/5 and 10/24

Product of 2 × 24 = 48

Product of 5 × 10 = 50

The products are not equal.

So, 2/5 and 10/24 are not equivalent fractions.

(ii) 7/9 and 28/36

Product of 7 × 36 = 252

Product of 9 × 28 = 252

Both the products are equal.

So, 7/9 and 28/36 are equivalent fractions.


Thus, to verify equivalent fractions the above procedure are followed to make sure that the pairs of fractions are equivalent.

Related Concepts

Fraction as a Part of a Whole

Fraction as a Part of Collection

Greater or Smaller Fraction

Convert a Fraction to an Equivalent Fraction

Proper Fraction and Improper Fraction



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.


3rd Grade Math Worksheets

3rd Grade Math Lessons

From Verify Equivalent Fractions to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Counting Numbers from 1 to 50 | Match the Number | Missing Numbers

    Apr 04, 25 03:46 PM

    Math Coloring Pages on Counting Number Oredr
    In counting numbers from 1 to 50, recognize the numbers, count and then join the numbers in the correct number order. Here we mainly need eye-hand coordination to draw the picture and maintain the num

    Read More

  2. Counting Eleven to Twenty with Numbers and Words |Numbers from 11 - 20

    Apr 04, 25 03:21 PM

    Counting eleven to twenty with numbers and words are explained below. One ten and one more is eleven. Eleven comes after ten. One ten and two more is twelve. Twelve comes after eleven.

    Read More

  3. 5th Grade BODMAS Rule Worksheet | PEMDAS | Order of operations|Answers

    Apr 03, 25 03:11 PM

    5th Grade BODMAS Rule Worksheet
    In 5th Grade BODMAS Rule Worksheet you will get different types of problems on mathematical expressions involving different operations, mathematical expression with 'brackets' and 'of' and simplifying…

    Read More

  4. Worksheet on Simplification | Simplify Expressions | BODMAS Questions

    Apr 03, 25 02:58 PM

    Worksheet on Simplification
    In worksheet on simplification, the questions are based in order to simplify expressions involving more than one bracket by using the steps of removal of brackets. This exercise sheet

    Read More

  5. Divisible by 2 Video |Test of Divisibility by 2 Trick| Rules| Examples

    Apr 03, 25 10:25 AM

    Divisible by 2
    A number is divisible by 2 if the digit at unit place is either 0 or multiple of 2. So a number is divisible by 2 if digit at its units place is 0, 2, 4, 6 or 8.

    Read More