Compare 3/75 and 56/30, Which fraction is greater?

Compare 3/75 and 56/30

1^st number: 3/75, 2^nd number: 1 26/30

3/75 is smaller than 56/30

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 30 is 150

Next, find the equivalent fraction of both fractional numbers with denominator 150
For the 1st fraction, since 75 × 2 = 150,
3/75 = 3 × 2/75 × 2 = 6/150
Likewise, for the 2nd fraction, since 30 × 5 = 150,
56/30 = 56 × 5/30 × 5 = 280/150
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
6/150 < 280/150 or 3/75 < 56/30

MathStep (Works offline)

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