Compare 56/4 and 40/75, Which fraction is greater?

Compare 56/4 and 40/75

1^st number: 14 0/4, 2^nd number: 40/75

56/4 is greater than 40/75

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 75 is 300

Next, find the equivalent fraction of both fractional numbers with denominator 300
For the 1st fraction, since 4 × 75 = 300,
56/4 = 56 × 75/4 × 75 = 4200/300
Likewise, for the 2nd fraction, since 75 × 4 = 300,
40/75 = 40 × 4/75 × 4 = 160/300
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
4200/300 > 160/300 or 56/4 > 40/75

MathStep (Works offline)

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