Compare 9/75 and 63/4, Which fraction is greater?

Compare 9/75 and 63/4

1^st number: 9/75, 2^nd number: 15 3/4

9/75 is smaller than 63/4

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

Next, find the equivalent fraction of both fractional numbers with denominator 300
For the 1st fraction, since 75 × 4 = 300,
9/75 = 9 × 4/75 × 4 = 36/300
Likewise, for the 2nd fraction, since 4 × 75 = 300,
63/4 = 63 × 75/4 × 75 = 4725/300
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
36/300 < 4725/300 or 9/75 < 63/4

MathStep (Works offline)

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