Compare 8/30 and 54/7, Which fraction is greater?

Compare 8/30 and 54/7

1^st number: 8/30, 2^nd number: 7 5/7

8/30 is smaller than 54/7

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 7 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 30 × 7 = 210,
8/30 = 8 × 7/30 × 7 = 56/210
Likewise, for the 2nd fraction, since 7 × 30 = 210,
54/7 = 54 × 30/7 × 30 = 1620/210
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
56/210 < 1620/210 or 8/30 < 54/7

MathStep (Works offline)

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