Compare 20/75 and 30/98, Which fraction is greater?

Compare 20/75 and 30/98

20/75 is smaller than 30/98

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 98 is 7350

Next, find the equivalent fraction of both fractional numbers with denominator 7350
For the 1st fraction, since 75 × 98 = 7350,
20/75 = 20 × 98/75 × 98 = 1960/7350
Likewise, for the 2nd fraction, since 98 × 75 = 7350,
30/98 = 30 × 75/98 × 75 = 2250/7350
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
1960/7350 < 2250/7350 or 20/75 < 30/98

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