Reducing the Equivalent Fractions

We will discuss here about reducing the equivalent fractions to the lowest terms. We divide the numerator and the denominator of the equivalent fractions by their H.C.F. to form its lowest terms.

Solved examples:

1. Reduce 4/8 to its lowest terms.

First we need to find the H.C.F. of 4 and 8.

H.C.F. of 4 and 8 = 2 × 2 = 4

H.C.F. of 4 and 8

Now, divide the numerator and denominator of 4/8 by 4.

i.e., 4/8 = 4 ÷ 4/8 ÷ 4 = ½

Therefore, 4/8 can be expressed in its lowest terms as ½.


A fractional number will only be in its lowest terms when the H.C.F. of its numerator and denominator is 1.

For example, the H.C.F. of numerator 1 and denominator 2 of the fraction ½ is 1.

So, ½ is in its lowest terms.

2. Reduce 6/9 to its lowest terms.

First we need to find the H.C.F. of 6 and 9.

H.C.F. of 6 and 9 = 3

Now, divide the numerator and denominator of 6/9 by 3.

i.e., 6/9 = 6 ÷ 3/9 ÷ 3 = 2/3

Therefore, 6/9 can be expressed in its lowest terms as 2/3.

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

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