Class 6 Maths Fractions | Like Unlike Fractions |

__Like Unlike Fractions__

__Like fractions__ are fractions with same denominator. For eg ½, 15/2, 19/2 and so on.

__Unlike fractions__ are fractions with different denominators. For e.g. 16/5, 7/8, ½, 2/5, 2/10.

It is important to note that like and unlike fractions are decided only on the basis of denominator. The value of numerator does not matter.

__Comparing Fractions__

__Comparing Like Fractions__

- In this case, the denominators are the same. So, only numerators are compared.
- The one with bigger numerator is the bigger fractions.
- 3/4 > 1/4

__Comparing Unlike Fractions__

__In this case, denominators are different.__- Firstly, we try and make the denominators same.
- This is done by converting fractions into equivalent fractions. To do this, the LCM of different denominators.
- Each fraction is converted into a form such that the LCM as the common denominator of both the fractions.
- The fractions now obtained are like fractions.
- Comparison of like fractions can be done by comparing the numerators.

1/3 and 2/4

LCM of 3 and 4 = 12

1*4/3*4 and 2*3/4*3

4/12 and 6/12

Since the denominators are the same, comparing the numerators we get :

4/12 < 6/12

__Problem: __Compare the fractions a) 3/6 & 5/6 b) 1/7 & 1/4

Solution:

a) 3/6 and 5/6 are like fractions because they have common denominator.

5 is greater than 3, Hence 5/6 is greater than 3/6

b) 1/7 and ¼ are unlike fractions.

Firstly, we try and make the denominators same.

This is done by converting fractions into equivalent fractions. To do this, the LCM of different denominators.

The LCM of 7 and 4 is 28. We get :

__1*4/7*4 and 1*7/4*7__

4/28 and 7/28

These are like fractions now. Comparing the numerators, we get:

4/28<7/28.

__Problem:__ Ila read 25 pages of a book containing 100 pages. Rahul reads 2/5^{th} of the same book. Who read less?

Solution:

Total number of pages in the book = 100

- Number of pages read by Ila = 25
- Fraction of pages read by Ila = 25/100 = ¼
- Fraction of pages read by Rahul = 2/5

To know who has read greater number of pages, we will have to compare the fraction ¼ & 2/5. We will do it by converting them to equivalent fraction with common denominator

2/ 5 & 1/4

2 * 4 / 5 * 4 & 1 *5 / 4 * 5

8/20 & 5/20

Since denominator are same, and 8>5 , so 8/20 > 5/20

Thus Rahul read greater fraction of pages

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