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

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Answer 1 · 2016-12-08T21:22:03

#21/24 = 7/8#

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#