Compare 9/64 and 4/27
9/64 is smaller than 4/27
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,
9/64 = 9 × 27/64 × 27 = 243/1728 - Likewise, for the 2nd fraction, since 27 × 64 = 1728,
4/27 = 4 × 64/27 × 64 = 256/1728 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 243/1728 < 256/1728 or 9/64 < 4/27
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