Compare 30/84 and 90/75, Which fraction is greater?

Compare 30/84 and 90/75

1^st number: 30/84, 2^nd number: 1 15/75

30/84 is smaller than 90/75

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100

Next, find the equivalent fraction of both fractional numbers with denominator 2100
For the 1st fraction, since 84 × 25 = 2100,
30/84 = 30 × 25/84 × 25 = 750/2100
Likewise, for the 2nd fraction, since 75 × 28 = 2100,
90/75 = 90 × 28/75 × 28 = 2520/2100
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
750/2100 < 2520/2100 or 30/84 < 90/75

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