Compare 3/7 and 75/64
1st number: 3/7, 2nd number: 1 11/64
3/7 is smaller than 75/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 64 is 448
Next, find the equivalent fraction of both fractional numbers with denominator 448 - For the 1st fraction, since 7 × 64 = 448,
3/7 = 3 × 64/7 × 64 = 192/448 - Likewise, for the 2nd fraction, since 64 × 7 = 448,
75/64 = 75 × 7/64 × 7 = 525/448 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 192/448 < 525/448 or 3/7 < 75/64
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