Compare 10/64 and 81/90
10/64 is smaller than 81/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 90 is 2880
Next, find the equivalent fraction of both fractional numbers with denominator 2880 - For the 1st fraction, since 64 × 45 = 2880,
10/64 = 10 × 45/64 × 45 = 450/2880 - Likewise, for the 2nd fraction, since 90 × 32 = 2880,
81/90 = 81 × 32/90 × 32 = 2592/2880 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 450/2880 < 2592/2880 or 10/64 < 81/90
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