Compare 45/64 and 48/7, Which fraction is greater?

Compare 45/64 and 48/7

1^st number: 45/64, 2^nd number: 6 6/7

45/64 is smaller than 48/7

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,
45/64 = 45 × 7/64 × 7 = 315/448
Likewise, for the 2nd fraction, since 7 × 64 = 448,
48/7 = 48 × 64/7 × 64 = 3072/448
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
315/448 < 3072/448 or 45/64 < 48/7

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