# Conversion of Fractions into Fractions having Same Denominator

In conversion of fractions into fractions having same denominator are explained here in this topic. Let there be two fractions 3/4 and 2/3. They may be changed into fractions having the same denominator.

For the purpose of having the same denominator, the numerators and denominators of the given fractions are multiplied by the common multiple of the given denominators.Here the common multiple of 4 and 3 is 12.

Hence,                 3/4                        and                    2/3 9/12                       and                    8/12

So, 3/4 and 2/3 = 9/12 and 8/12

Examples on conversion of fractions into fractions having same denominator:

1. Convert 3/4 and 5/6 into fractions having the same denominator.

Solution:

The common multiple of 4 and 6 is 12

as 4 = 2 x 2 and 6 = 2 x 3

Therefore, common multiple will be 2 x 2 x 3 = 12

3/4                       and                    5/6 9/12                      and                    10/12

2. Change the fraction 2/5 into fraction having 25 as denominator.

Solution:

2/5 = 10/25

3. Change the fractions 2/3, 7/12 and 11/24 into fractions having the denominator 48.

Solution:

2/3, 7/12 and 11/24           ⇒    2 x 48/3 x 48, 7 x 48/12 x 48 and 11 x 48/24 x 48 =   32/48,             28/48          and      22/48

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