Compare 10/21 and 16/24
10/21 is smaller than 16/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 21 × 8 = 168,
10/21 = 10 × 8/21 × 8 = 80/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
16/24 = 16 × 7/24 × 7 = 112/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/168 < 112/168 or 10/21 < 16/24
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