Compare 21/16 and 75/28
1st number: 1 5/16, 2nd number: 2 19/28
21/16 is smaller than 75/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 28 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 16 × 7 = 112,
21/16 = 21 × 7/16 × 7 = 147/112 - Likewise, for the 2nd fraction, since 28 × 4 = 112,
75/28 = 75 × 4/28 × 4 = 300/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/112 < 300/112 or 21/16 < 75/28
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