Compare 9/64 and 21/30
9/64 is smaller than 21/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 30 is 960
Next, find the equivalent fraction of both fractional numbers with denominator 960 - For the 1st fraction, since 64 × 15 = 960,
9/64 = 9 × 15/64 × 15 = 135/960 - Likewise, for the 2nd fraction, since 30 × 32 = 960,
21/30 = 21 × 32/30 × 32 = 672/960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/960 < 672/960 or 9/64 < 21/30
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