Compare 8/24 and 21/16
1st number: 8/24, 2nd number: 1 5/16
8/24 is smaller than 21/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 16 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 24 × 2 = 48,
8/24 = 8 × 2/24 × 2 = 16/48 - Likewise, for the 2nd fraction, since 16 × 3 = 48,
21/16 = 21 × 3/16 × 3 = 63/48 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/48 < 63/48 or 8/24 < 21/16
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