# Like  Fractions

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Like fractions are fractions whose denominators (bottom numbers)are same.

Examples :

1) 2/5, 3/5, 8/5, 11/5 are like-fractions as the denominator 5 is same in all fractions.

2) 11/15, 23/15, 112/15 are like-fractions as the denominator 15 is same in all the fractions.

3) 7,6,5 are like-fractions as there is no denominator so consider 1 as a denominator so it will be 7/1,6/1 and 5/1.

Unlike fractions :

The fractions with different denominators are called Unlike fractions.

Examples of unlike fractions :

1) 3/7, 8/5, 12/11 are unlike fractions as in each fraction denominators are different.

2) 4/11, 1/2, 3/4, 6/13 are unlike fractions as in each fraction denominators are different.

Using LCM we can convert unlike terms into like term.

Example :

1) Convert 4/5 and 3/2 into like-fractions.
Solution:

As both 4/5 and 3/2 are unlike fractions,

so the LCM of 5 and 2 = 10

4/5 = (4x2)/(5x2) = 8/10

3/2 = (3x5)/(2x5)= 15/10

Now 8/10 and 15/10 are like-fractions.

2) Convert 3/8, 5/6, 7/12 into like-fractions.

Solution :

Find the LCM of the denominators 8,6 and 12.

LCM = 24

Now convert above fraction into equivalent fraction.

3/8 = (3 x 3)/(8 x 3)= 9/24

5/6 = (5 x 4)/(6 x 4)= 20/24

7/12 = (7 x 2)/(12 x 2)= 14/24

So, 9/24, 20/24, and 14/24 are like-fractions representing 3/8, 5/6 and 7/12.
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Practice

State the following fractions are like or unlike.
1) 12/7, 5/6,7/8
2) 32/7, 32/6,32/8
3) 102/11, 55/11,7/11
4) 36/1,42/1,56
5) 72/13, 15/65,45/13
6) 23/4,34/5,12/4
7) 10/3,10/7,10/9
Convert the following unlike fractions to like.
1) 18/21,8/7,11/42
2) 8/10,19/8,121/40
3) 7/18, 11/24, 17/36
4) 11/20,11/60,11
5) 1/5,2/3,4/7
6) 3/7, 8/5, 12/11
7) 1/38, 2/19,5

Fraction

Types of Fractions
Conversion of improper to mixed fraction
Equivalent Fractions
Fractions in Simplest form
Like and Unlike Fractions