Compare 21/16 and 56/9
1st number: 1 5/16, 2nd number: 6 2/9
21/16 is smaller than 56/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 9 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 9 × 16 = 144,
56/9 = 56 × 16/9 × 16 = 896/144 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/144 < 896/144 or 21/16 < 56/9
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