Compare 30/75 and 21/27, Which fraction is greater?

Compare 30/75 and 21/27

30/75 is smaller than 21/27

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 27 is 675

Next, find the equivalent fraction of both fractional numbers with denominator 675
For the 1st fraction, since 75 × 9 = 675,
30/75 = 30 × 9/75 × 9 = 270/675
Likewise, for the 2nd fraction, since 27 × 25 = 675,
21/27 = 21 × 25/27 × 25 = 525/675
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
270/675 < 525/675 or 30/75 < 21/27

MathStep (Works offline)

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