Compare 27/16 and 21/9
1st number: 1 11/16, 2nd number: 2 3/9
27/16 is smaller than 21/9
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,
27/16 = 27 × 9/16 × 9 = 243/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
21/9 = 21 × 16/9 × 16 = 336/144 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 243/144 < 336/144 or 27/16 < 21/9
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