Compare 45/32 and 48/21, Which fraction is greater?

Compare 45/32 and 48/21

1^st number: 1 13/32, 2^nd number: 2 6/21

45/32 is smaller than 48/21

Find the least common denominator or LCM of the two denominators:
LCM of 32 and 21 is 672

Next, find the equivalent fraction of both fractional numbers with denominator 672
For the 1st fraction, since 32 × 21 = 672,
45/32 = 45 × 21/32 × 21 = 945/672
Likewise, for the 2nd fraction, since 21 × 32 = 672,
48/21 = 48 × 32/21 × 32 = 1536/672
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
945/672 < 1536/672 or 45/32 < 48/21

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