Compare 75/64 and 48/14
1st number: 1 11/64, 2nd number: 3 6/14
75/64 is smaller than 48/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 14 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 14 × 32 = 448,
48/14 = 48 × 32/14 × 32 = 1536/448 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/448 < 1536/448 or 75/64 < 48/14
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