Compare 4/64 and 48/27, Which fraction is greater?

Compare 4/64 and 48/27

1^st number: 4/64, 2^nd number: 1 21/27

4/64 is smaller than 48/27

Find the least common denominator or LCM of the two denominators:
LCM of 64 and 27 is 1728

Next, find the equivalent fraction of both fractional numbers with denominator 1728
For the 1st fraction, since 64 × 27 = 1728,
4/64 = 4 × 27/64 × 27 = 108/1728
Likewise, for the 2nd fraction, since 27 × 64 = 1728,
48/27 = 48 × 64/27 × 64 = 3072/1728
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
108/1728 < 3072/1728 or 4/64 < 48/27

MathStep (Works offline)

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