How do you compare each pair of fractions with <, > or = given #21/24, 7/8#?

1 Answer
Dec 8, 2016

#21/24 = 7/8#

Explanation:

To compare the two fractions, they should have an equal denominator.

To do this, find a common multiple of the two denominators.

In this case, it is #24#.

The fraction #21/24# stays the same, since #24 = 24 * 1#

However, #7/8# changes, since #24 = 8 * 3#

This means that the 7 would also be multiplied by 3 to keep the value of the fraction, giving us #21/24# as well.

If they have the same numerator when the denominators are made equal, they are of equal value.

#therefore 21/24 = 7/8#