Compare 12/14 and 40/64
12/14 is greater than 40/64
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,
12/14 = 12 × 32/14 × 32 = 384/448 - Likewise, for the 2nd fraction, since 64 × 7 = 448,
40/64 = 40 × 7/64 × 7 = 280/448 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 384/448 > 280/448 or 12/14 > 40/64
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