Compare 6/64 and 49/30, Which fraction is greater?

Compare 6/64 and 49/30

1^st number: 6/64, 2^nd number: 1 19/30

6/64 is smaller than 49/30

Find the least common denominator or LCM of the two denominators:
LCM of 64 and 30 is 960

Next, find the equivalent fraction of both fractional numbers with denominator 960
For the 1st fraction, since 64 × 15 = 960,
6/64 = 6 × 15/64 × 15 = 90/960
Likewise, for the 2nd fraction, since 30 × 32 = 960,
49/30 = 49 × 32/30 × 32 = 1568/960
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
90/960 < 1568/960 or 6/64 < 49/30

MathStep (Works offline)

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