Compare 30/9 and 56/12, Which fraction is greater?

Compare 30/9 and 56/12

1^st number: 3 3/9, 2^nd number: 4 8/12

30/9 is smaller than 56/12

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 12 is 36

Next, find the equivalent fraction of both fractional numbers with denominator 36
For the 1st fraction, since 9 × 4 = 36,
30/9 = 30 × 4/9 × 4 = 120/36
Likewise, for the 2nd fraction, since 12 × 3 = 36,
56/12 = 56 × 3/12 × 3 = 168/36
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
120/36 < 168/36 or 30/9 < 56/12

MathStep (Works offline)

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