Compare 10/64 and 10/27
10/64 is smaller than 10/27
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,
10/64 = 10 × 27/64 × 27 = 270/1728 - Likewise, for the 2nd fraction, since 27 × 64 = 1728,
10/27 = 10 × 64/27 × 64 = 640/1728 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/1728 < 640/1728 or 10/64 < 10/27
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