Compare 30/7 and 21/27, Which fraction is greater?

Compare 30/7 and 21/27

1^st number: 4 2/7, 2^nd number: 21/27

30/7 is greater than 21/27

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 27 is 189

Next, find the equivalent fraction of both fractional numbers with denominator 189
For the 1st fraction, since 7 × 27 = 189,
30/7 = 30 × 27/7 × 27 = 810/189
Likewise, for the 2nd fraction, since 27 × 7 = 189,
21/27 = 21 × 7/27 × 7 = 147/189
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
810/189 > 147/189 or 30/7 > 21/27

MathStep (Works offline)

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