Compare 45/64 and 48/42, Which fraction is greater?

Compare 45/64 and 48/42

1^st number: 45/64, 2^nd number: 1 6/42

45/64 is smaller than 48/42

Find the least common denominator or LCM of the two denominators:
LCM of 64 and 42 is 1344

Next, find the equivalent fraction of both fractional numbers with denominator 1344
For the 1st fraction, since 64 × 21 = 1344,
45/64 = 45 × 21/64 × 21 = 945/1344
Likewise, for the 2nd fraction, since 42 × 32 = 1344,
48/42 = 48 × 32/42 × 32 = 1536/1344
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
945/1344 < 1536/1344 or 45/64 < 48/42

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