Compare 21/30 and 30/64
21/30 is greater than 30/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 64 is 960
Next, find the equivalent fraction of both fractional numbers with denominator 960 - For the 1st fraction, since 30 × 32 = 960,
21/30 = 21 × 32/30 × 32 = 672/960 - Likewise, for the 2nd fraction, since 64 × 15 = 960,
30/64 = 30 × 15/64 × 15 = 450/960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 672/960 > 450/960 or 21/30 > 30/64
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