Subscribe to our YouTube channel for the latest videos, updates, and tips.


Finding Equivalent Fractions

We will discuss about finding equivalent fractions.

Equivalent fractions can be obtained by multiplying the numerator and the denominator of a fraction by the same non-zero number.

For example, look at the following rectangles.

(i)

Finding Equivalent Fractions

(ii)

Building Equivalent Fractions

(iii)

Equivalent Fraction

The shaded part of 1st rectangle can be denoted as ½. In the same way, 2nd and 3rd can be denoted as 2/4 and 3/6. Because all are showing same part of rectangle i.e., half of rectangle so they are equivalent fractions.

i.e., ½ = 2/4 = 3/6                or, ½ = 1 X 2/2 x 2 = 1 X 3/2 X 3

½ = 1 X 2/2 x 2 = 2/4    (We can get 2/4 from ½ by multiplying the numerator and the denominator of ½ by 2.)

½ = 1 X 3/2 X 3 = 3/6          (We can get 3/6 from ½ by multiplying the numerator and the denominator of ½ by 3.)

So, we can get equivalent fractions by multiplying the numerator and the denominator of a fraction by a non-zero number.

For example, 3/5 = 3 x 3/5 x 3 = 9/15

Or, 3/5 = 3 x 6/5 x 6 = 18/30

Or, 3/5 = 3 x 8/5 x 8 = 24/40

Here, 3/5, 9/15, 18/30 and 24/40 are equivalent fractions.

We can also obtain an equivalent fraction of a fraction by dividing the numerator and the denominator both by the same non-zero number.

For example, observe the shaded parts of these rectangles.

(i)

Understanding Equivalent Fractions

(ii)

Equivalent Fractions Calculator

(iii)

Equivalent Fractions Examples

The shaded parts in the 1st rectangle can be denoted as 8/16 in the same way, 2nd and 3rd can be denoted as 4/8 and 2/4. Because, all are shown same part i.e., half of the rectangle, so they are equivalent fractions.

i.e., 8/16 = 4/8 = 2/4

or

8/16 = 8 ÷ 2/16 ÷ 2 = 8 ÷ 4/16 ÷ 4

(We can obtain 4/8 and 2/4 from 8/16 by dividing their numerator and denominator from non-zero numbers 2 and 4 respectively.)

But it is easier to obtain an equivalent fraction by multiplying its numerator and denominator by the same non-zero number.

Related Concept

Fraction of a Whole Numbers

Representation of a Fraction

Equivalent Fractions

Properties of Equivalent Fractions

Like and Unlike Fractions

Comparison of Like Fractions

Comparison of Fractions having the same Numerator

Types of Fractions

Changing Fractions

Conversion of Fractions into Fractions having Same Denominator

Conversion of a Fraction into its Smallest and Simplest Form

Addition of Fractions having the Same Denominator

Subtraction of Fractions having the Same Denominator

Addition and Subtraction of Fractions on the Fraction Number Line





4th Grade Math Activities

From Finding 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. Conversion of Improper Fractions into Mixed Fractions |Solved Examples

    May 12, 25 04:52 AM

    Conversion of Improper Fractions into Mixed Fractions
    In conversion of improper fractions into mixed fractions, we follow the following steps: Step I: Obtain the improper fraction. Step II: Divide the numerator by the denominator and obtain the quotient…

    Read More

  2. Multiplication Table of 6 | Read and Write the Table of 6 | Six Table

    May 12, 25 02:23 AM

    Multiplication Table of Six
    Repeated addition by 6’s means the multiplication table of 6. (i) When 6 bunches each having six bananas each. By repeated addition we can show 6 + 6 + 6 + 6 + 6 + 6 = 36 Then, six 6 times or 6 sixes

    Read More

  3. Word Problems on Decimals | Decimal Word Problems | Decimal Home Work

    May 11, 25 01:22 PM

    Word problems on decimals are solved here step by step. The product of two numbers is 42.63. If one number is 2.1, find the other. Solution: Product of two numbers = 42.63 One number = 2.1

    Read More

  4. Worksheet on Dividing Decimals | Huge Number of Decimal Division Prob

    May 11, 25 11:52 AM

    Worksheet on Dividing Decimals
    Practice the math questions given in the worksheet on dividing decimals. Divide the decimals to find the quotient, same like dividing whole numbers. This worksheet would be really good for the student…

    Read More

  5. Worksheet on Multiplying Decimals | Product of the Two Decimal Numbers

    May 11, 25 11:18 AM

    Practice the math questions given in the worksheet on multiplying decimals. Multiply the decimals to find the product of the two decimal numbers, same like multiplying whole numbers.

    Read More