Compare 30/32 and 24/7, Which fraction is greater?

Compare 30/32 and 24/7

1^st number: 30/32, 2^nd number: 3 3/7

30/32 is smaller than 24/7

Find the least common denominator or LCM of the two denominators:
LCM of 32 and 7 is 224

Next, find the equivalent fraction of both fractional numbers with denominator 224
For the 1st fraction, since 32 × 7 = 224,
30/32 = 30 × 7/32 × 7 = 210/224
Likewise, for the 2nd fraction, since 7 × 32 = 224,
24/7 = 24 × 32/7 × 32 = 768/224
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
210/224 < 768/224 or 30/32 < 24/7

MathStep (Works offline)

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