Compare 8/21 and 5/64
8/21 is greater than 5/64
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,
8/21 = 8 × 64/21 × 64 = 512/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
5/64 = 5 × 21/64 × 21 = 105/1344 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 512/1344 > 105/1344 or 8/21 > 5/64
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