Comparison Of Fractions

 

Comparing Like Fractions:

Since the denominators are same for like fractions, it is enough to compare their numerators.

Demonstration:

1/7 < 5/7

Comparing Unlike Fractions:

To compare two unlike fractions, we need to convert them into like fractions by using the following steps and then compare them.

1) Obtain the denominators of the fractions and find their LCM .

2) Each fractions needs to be converted to its equivalent fraction with denominator equal to the LCM .

3) Compare the numerators of the equivalent fractions whose denominators are the same.

Demonstration:

Which is larger 3/4 or 5/12 ?
Solution:
LCM of the denominators 4 and 12 are 2 × 2 × 3 = 12.


Now we convert the given fractions to equivalent fractions with denominator 12
We have,

3/4 = (3 × 3)/(4 × 3) = 9/12
5/12 = (5 × 1)/(12 × 1) = 5/12
Now we will observe the numerator, that is 9 > 5.
So, 9/12 > 5/12
Therefore,  3/4 > 5>12