Compare 30/14 and 10/75, Which fraction is greater?

Compare 30/14 and 10/75

1^st number: 2 2/14, 2^nd number: 10/75

30/14 is greater than 10/75

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 75 is 1050

Next, find the equivalent fraction of both fractional numbers with denominator 1050
For the 1st fraction, since 14 × 75 = 1050,
30/14 = 30 × 75/14 × 75 = 2250/1050
Likewise, for the 2nd fraction, since 75 × 14 = 1050,
10/75 = 10 × 14/75 × 14 = 140/1050
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
2250/1050 > 140/1050 or 30/14 > 10/75

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