Compare 45/32 and 96/7, Which fraction is greater?

Compare 45/32 and 96/7

1^st number: 1 13/32, 2^nd number: 13 5/7

45/32 is smaller than 96/7

Find the least common denominator or LCM of the two denominators:
LCM of 32 and 7 is 224

Next, find the equivalent fraction of both fractional numbers with denominator 224
For the 1st fraction, since 32 × 7 = 224,
45/32 = 45 × 7/32 × 7 = 315/224
Likewise, for the 2nd fraction, since 7 × 32 = 224,
96/7 = 96 × 32/7 × 32 = 3072/224
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
315/224 < 3072/224 or 45/32 < 96/7

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