Compare 7/12 and 63/64
7/12 is smaller than 63/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 64 is 192
Next, find the equivalent fraction of both fractional numbers with denominator 192 - For the 1st fraction, since 12 × 16 = 192,
7/12 = 7 × 16/12 × 16 = 112/192 - Likewise, for the 2nd fraction, since 64 × 3 = 192,
63/64 = 63 × 3/64 × 3 = 189/192 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/192 < 189/192 or 7/12 < 63/64
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