Comparing Fractions

A fraction is a form where the numbers are written in the numerator and the denominator. When two fractions are compared with each other, we check which fraction is greater and which fraction is smaller among the two. Comparing fractions calculator is an easy and a fun tool to compare fractions.

 

Example 1: The fraction 1/7 is greater than the fraction 1/9. True or False?

Given two fractions: 1/7 and 1/9

In order to compare two fractions, first their denominators have to be the same.

Multiply the first fraction 1/7 with the denominator of the second fraction

 1/7 = (1 * 9)/ (7 * 9) = 9/63

Similarly ? Multiply the second fraction 1/9 with the denominator of the first fraction

1/9 = (1 * 7)/ (9 * 7) = 7/ 63

Now clearly 9 > 7 hence 9/63 > 7/63

1/7 > 1/9 ?True

 

Example 2: Find the greater fraction by the comparing the two fractions, 2/5 and 3/4.

Given two fractions: 2/5 and 3/4

In order to compare two fractions, first their denominators have to be the same.

Multiply the first fraction 2/5 with the denominator of the second fraction

2/5 = (2 * 4)/ (5 * 4) = 8/20

Similarly ? Multiply the second fraction 3/4 with the denominator of the first fraction

3/4 = (3 * 5)/ (4 * 5) = 15/ 20

Now clearly 15 > 8 hence 15/20 > 8/20

Hence? 3/4 > 2/5