Compare 9/64 and 21/40
9/64 is smaller than 21/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 40 is 320
Next, find the equivalent fraction of both fractional numbers with denominator 320 - For the 1st fraction, since 64 × 5 = 320,
9/64 = 9 × 5/64 × 5 = 45/320 - Likewise, for the 2nd fraction, since 40 × 8 = 320,
21/40 = 21 × 8/40 × 8 = 168/320 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/320 < 168/320 or 9/64 < 21/40
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