Compare 21/10 and 7/75, Which fraction is greater?

Compare 21/10 and 7/75

1^st number: 2 1/10, 2^nd number: 7/75

21/10 is greater than 7/75

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 75 is 150

Next, find the equivalent fraction of both fractional numbers with denominator 150
For the 1st fraction, since 10 × 15 = 150,
21/10 = 21 × 15/10 × 15 = 315/150
Likewise, for the 2nd fraction, since 75 × 2 = 150,
7/75 = 7 × 2/75 × 2 = 14/150
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
315/150 > 14/150 or 21/10 > 7/75

MathStep (Works offline)

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