Compare 5/8 and 21/24
5/8 is smaller than 21/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 24 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24 - For the 1st fraction, since 8 × 3 = 24,
5/8 = 5 × 3/8 × 3 = 15/24 - Likewise, for the 2nd fraction, since 24 × 1 = 24,
21/24 = 21 × 1/24 × 1 = 21/24 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 15/24 < 21/24 or 5/8 < 21/24
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