Compare 8/28 and 21/16
1st number: 8/28, 2nd number: 1 5/16
8/28 is smaller than 21/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 16 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 28 × 4 = 112,
8/28 = 8 × 4/28 × 4 = 32/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
21/16 = 21 × 7/16 × 7 = 147/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/112 < 147/112 or 8/28 < 21/16
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