Compare 30/96 and 45/35, Which fraction is greater?

Compare 30/96 and 45/35

1^st number: 30/96, 2^nd number: 1 10/35

30/96 is smaller than 45/35

Find the least common denominator or LCM of the two denominators:
LCM of 96 and 35 is 3360

Next, find the equivalent fraction of both fractional numbers with denominator 3360
For the 1st fraction, since 96 × 35 = 3360,
30/96 = 30 × 35/96 × 35 = 1050/3360
Likewise, for the 2nd fraction, since 35 × 96 = 3360,
45/35 = 45 × 96/35 × 96 = 4320/3360
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
1050/3360 < 4320/3360 or 30/96 < 45/35

MathStep (Works offline)

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