Converting unlike fractions into like fractions

__Like fractions and unlike fractions__

Consider the following figures:

The fraction represented by (i) is
2/6. The fraction represented by

(ii) is 3/6. The fraction represented by (iii) is 4/6

In 2/6, 3/6 and 4/6 , the denominators
are the same. Such fractions are called as like fractions.

__Like fractions__

Fractions with same denominators are
called **like fractions**.

Examples 1/5, 4/5, 3/5

__Unlike fractions__

Fractions with different denominators
are called **unlike fractions**.

Examples: 1/7, 2/9, 9/11

** **

__Converting unlike fractions into like fractions__

To
convert unlike fractions into like fractions, we change the denominators of the
given fractions into a common denominator. This can be done by finding the
common multiples of the denominator.

__Example 6.6__

Convert 5/6 and 7/9 into like
fractions.

**Solution**

Find common multiples for the numbers
6 and 9

Multiples of 6 : 6,12,18,24,30,36,…

Multiples of 9 : 9,18,27,36,45,…..

Here, the number 18 is a multiple of
both 6 and 9 and so 18 is the first common denominator of both the fractions.

Thus 15/18 and 14/18 are like fractions,
repectively equivalent to 5/6 and 7/9

** **

__Example 6.7__

Covert 4/8 and 5/16 into like
fractions.

**Solution**

As 16 is twice 8 it is easy to make 16
as the common denominator

Thus 8/16 and 15/16 are the required
like fractions.

__Example 6.8__

Find a common denominator for 2/5 and
3/7

**Solution**

The number 35 is a common multiple of
both 7 and 5.

So, take 35 as the common denominator.

Therefore 14/35 and 15/35 are the
required like fractions.

Tags : Fractions | Term 3 Chapter 6 | 5th Maths , 5th Maths : Term 3 Unit 6 : Fractions

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5th Maths : Term 3 Unit 6 : Fractions : Like fractions and unlike fractions | Fractions | Term 3 Chapter 6 | 5th Maths

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