Compare 35/9 and 30/96, Which fraction is greater?

Compare 35/9 and 30/96

1^st number: 3 8/9, 2^nd number: 30/96

35/9 is greater than 30/96

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 96 is 288

Next, find the equivalent fraction of both fractional numbers with denominator 288
For the 1st fraction, since 9 × 32 = 288,
35/9 = 35 × 32/9 × 32 = 1120/288
Likewise, for the 2nd fraction, since 96 × 3 = 288,
30/96 = 30 × 3/96 × 3 = 90/288
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
1120/288 > 90/288 or 35/9 > 30/96

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