Page 3 - MM 2

Each fractions are converted to its equivalent fraction with denominator equal to the
LCM (least common multiple) obtained in Step I.

Step III:

Compare the numerators of the equivalent fractions whose denominators are same.

For example:

1. Which is larger ³/₄ or ⁵/₁₂ ?

Solution:

Let us first find the LCM (least common multiple) of the denominators 4 and 12.

We have,

Therefore, LCM (least common multiple) of 4 and 12 is 2 × 2 × 3 = 12.

Now we convert the given fractions to equivalent fractions with denominator 12

We have,

3/4 = (3 × 3)/(4 × 3) = 9/12

5/12 = (5 × 1)/(12 × 1) = 5/12

Now we will observe the numerator, that is 9 > 5.

So, ⁹/₁₂ > ⁵/₁₂

Therefore, ³/₄ > ⁵/₁₂.