Compare 5/36 and 9/64
5/36 is smaller than 9/64
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,
5/36 = 5 × 16/36 × 16 = 80/576 - Likewise, for the 2nd fraction, since 64 × 9 = 576,
9/64 = 9 × 9/64 × 9 = 81/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/576 < 81/576 or 5/36 < 9/64
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