Compare 21/16 and 32/18
1st number: 1 5/16, 2nd number: 1 14/18
21/16 is smaller than 32/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 18 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 16 × 9 = 144,
21/16 = 21 × 9/16 × 9 = 189/144 - Likewise, for the 2nd fraction, since 18 × 8 = 144,
32/18 = 32 × 8/18 × 8 = 256/144 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/144 < 256/144 or 21/16 < 32/18
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