Compare 75/21 and 49/98, Which fraction is greater?

Compare 75/21 and 49/98

1^st number: 3 12/21, 2^nd number: 49/98

75/21 is greater than 49/98

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 98 is 294

Next, find the equivalent fraction of both fractional numbers with denominator 294
For the 1st fraction, since 21 × 14 = 294,
75/21 = 75 × 14/21 × 14 = 1050/294
Likewise, for the 2nd fraction, since 98 × 3 = 294,
49/98 = 49 × 3/98 × 3 = 147/294
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
1050/294 > 147/294 or 75/21 > 49/98

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad