Compare 45/64 and 48/21, Which fraction is greater?

Compare 45/64 and 48/21

1^st number: 45/64, 2^nd number: 2 6/21

45/64 is smaller than 48/21

Find the least common denominator or LCM of the two denominators:
LCM of 64 and 21 is 1344

Next, find the equivalent fraction of both fractional numbers with denominator 1344
For the 1st fraction, since 64 × 21 = 1344,
45/64 = 45 × 21/64 × 21 = 945/1344
Likewise, for the 2nd fraction, since 21 × 64 = 1344,
48/21 = 48 × 64/21 × 64 = 3072/1344
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
945/1344 < 3072/1344 or 45/64 < 48/21

MathStep (Works offline)

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