# 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

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.

Remember,

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.

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