Compare 75/64 and 8/7
1st number: 1 11/64, 2nd number: 1 1/7
75/64 is greater than 8/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 7 is 448
Next, find the equivalent fraction of both fractional numbers with denominator 448 - For the 1st fraction, since 64 × 7 = 448,
75/64 = 75 × 7/64 × 7 = 525/448 - Likewise, for the 2nd fraction, since 7 × 64 = 448,
8/7 = 8 × 64/7 × 64 = 512/448 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/448 > 512/448 or 75/64 > 8/7
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