Verification of Equivalent Fractions

We will discuss here about verification of equivalent fractions. To verify that two fractions are equivalent or not, we multiply the numerator of one fraction by the denominator of the other fraction. Similarly, we multiply the denominator of one fraction by the numerator of the other fraction. If the products obtained, are the same, the fractions are equivalent.

Consider the following examples.

1. Test whether 4/9 and 8/18 are equivalent or not.

Verification of Equivalent Fractions

Here, 4 × 18 = 72              

(The product of the numerator of the first fraction and the denominator of the other)

9 × 8 = 72                        

(The product of the denominator of the first fraction and the numerator of the other)

Thus, 4/9 and 8/18 are equivalent fractions.

We can also verify equivalent fractions by reducing them to their lowest terms.

2. Test whether 2/3, 10/15 and 22/33 are equivalent or not.

We express the above fractions to their lowest terms.

2/3 is itself in its lowest terms.      (The H.C.F. of 2 and 3 is 1)

10/15 = 10 ÷ 5/15 ÷ 5 = 2/3 and 22/33 = 22 ÷ 11/33 ÷ 11 = 2/3

Because 2/3, 10/15 and 22/33 have the same value. So, they are equivalent fractions.

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 Verification of 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.