Compare 6/14 and 21/64
6/14 is greater than 21/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 64 is 448
Next, find the equivalent fraction of both fractional numbers with denominator 448 - For the 1st fraction, since 14 × 32 = 448,
6/14 = 6 × 32/14 × 32 = 192/448 - Likewise, for the 2nd fraction, since 64 × 7 = 448,
21/64 = 21 × 7/64 × 7 = 147/448 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 192/448 > 147/448 or 6/14 > 21/64
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