Compare 1/36 and 21/64
1/36 is smaller than 21/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 64 is 576
Next, find the equivalent fraction of both fractional numbers with denominator 576 - For the 1st fraction, since 36 × 16 = 576,
1/36 = 1 × 16/36 × 16 = 16/576 - Likewise, for the 2nd fraction, since 64 × 9 = 576,
21/64 = 21 × 9/64 × 9 = 189/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/576 < 189/576 or 1/36 < 21/64
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