Compare 75/14 and 35/9, Which fraction is greater?

Compare 75/14 and 35/9

1^st number: 5 5/14, 2^nd number: 3 8/9

75/14 is greater than 35/9

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 14 × 9 = 126,
75/14 = 75 × 9/14 × 9 = 675/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
35/9 = 35 × 14/9 × 14 = 490/126
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
675/126 > 490/126 or 75/14 > 35/9

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