Compare 75/32 and 56/49, Which fraction is greater?

Compare 75/32 and 56/49

1^st number: 2 11/32, 2^nd number: 1 7/49

75/32 is greater than 56/49

Find the least common denominator or LCM of the two denominators:
LCM of 32 and 49 is 1568

Next, find the equivalent fraction of both fractional numbers with denominator 1568
For the 1st fraction, since 32 × 49 = 1568,
75/32 = 75 × 49/32 × 49 = 3675/1568
Likewise, for the 2nd fraction, since 49 × 32 = 1568,
56/49 = 56 × 32/49 × 32 = 1792/1568
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
3675/1568 > 1792/1568 or 75/32 > 56/49

MathStep (Works offline)

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