Compare 28/64 and 84/75, Which fraction is greater?

Compare 28/64 and 84/75

1^st number: 28/64, 2^nd number: 1 9/75

28/64 is smaller than 84/75

Find the least common denominator or LCM of the two denominators:
LCM of 64 and 75 is 4800

Next, find the equivalent fraction of both fractional numbers with denominator 4800
For the 1st fraction, since 64 × 75 = 4800,
28/64 = 28 × 75/64 × 75 = 2100/4800
Likewise, for the 2nd fraction, since 75 × 64 = 4800,
84/75 = 84 × 64/75 × 64 = 5376/4800
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
2100/4800 < 5376/4800 or 28/64 < 84/75

MathStep (Works offline)

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