Compare 10/36 and 84/32, Which fraction is greater?

Compare 10/36 and 84/32

1^st number: 10/36, 2^nd number: 2 20/32

10/36 is smaller than 84/32

Find the least common denominator or LCM of the two denominators:
LCM of 36 and 32 is 288

Next, find the equivalent fraction of both fractional numbers with denominator 288
For the 1st fraction, since 36 × 8 = 288,
10/36 = 10 × 8/36 × 8 = 80/288
Likewise, for the 2nd fraction, since 32 × 9 = 288,
84/32 = 84 × 9/32 × 9 = 756/288
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
80/288 < 756/288 or 10/36 < 84/32

MathStep (Works offline)

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