Compare 48/64 and 16/7
1st number: 48/64, 2nd number: 2 2/7
48/64 is smaller than 16/7
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,
48/64 = 48 × 7/64 × 7 = 336/448 - Likewise, for the 2nd fraction, since 7 × 64 = 448,
16/7 = 16 × 64/7 × 64 = 1024/448 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 336/448 < 1024/448 or 48/64 < 16/7
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