Compare 7/21 and 30/64
7/21 is smaller than 30/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 64 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 21 × 64 = 1344,
7/21 = 7 × 64/21 × 64 = 448/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
30/64 = 30 × 21/64 × 21 = 630/1344 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 448/1344 < 630/1344 or 7/21 < 30/64
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