Compare 8/27 and 21/4, Which fraction is greater?

Compare 8/27 and 21/4

1^st number: 8/27, 2^nd number: 5 1/4

8/27 is smaller than 21/4

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 4 is 108

Next, find the equivalent fraction of both fractional numbers with denominator 108
For the 1st fraction, since 27 × 4 = 108,
8/27 = 8 × 4/27 × 4 = 32/108
Likewise, for the 2nd fraction, since 4 × 27 = 108,
21/4 = 21 × 27/4 × 27 = 567/108
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
32/108 < 567/108 or 8/27 < 21/4

MathStep (Works offline)

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