Compare 4/36 and 21/16
1st number: 4/36, 2nd number: 1 5/16
4/36 is smaller than 21/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 36 × 4 = 144,
4/36 = 4 × 4/36 × 4 = 16/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
21/16 = 21 × 9/16 × 9 = 189/144 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/144 < 189/144 or 4/36 < 21/16
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