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
Conversion of Fractions into Fractions having Same Denominator
                      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
Examples on Conversion of Fractions
                       9/12                      and                    10/12


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

Solution:

2/5

Examples on Conversion of Fractions





= 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

Examples on Conversion of Fractions







                                  =   32/48,             28/48          and      22/48

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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