Compare 1/64 and 5/27
1/64 is smaller than 5/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 27 is 1728
Next, find the equivalent fraction of both fractional numbers with denominator 1728 - For the 1st fraction, since 64 × 27 = 1728,
1/64 = 1 × 27/64 × 27 = 27/1728 - Likewise, for the 2nd fraction, since 27 × 64 = 1728,
5/27 = 5 × 64/27 × 64 = 320/1728 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/1728 < 320/1728 or 1/64 < 5/27
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