Compare 42/35 and 45/36, Which fraction is greater?

Compare 42/35 and 45/36

1^st number: 1 7/35, 2^nd number: 1 9/36

42/35 is smaller than 45/36

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 36 is 1260

Next, find the equivalent fraction of both fractional numbers with denominator 1260
For the 1st fraction, since 35 × 36 = 1260,
42/35 = 42 × 36/35 × 36 = 1512/1260
Likewise, for the 2nd fraction, since 36 × 35 = 1260,
45/36 = 45 × 35/36 × 35 = 1575/1260
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
1512/1260 < 1575/1260 or 42/35 < 45/36

MathStep (Works offline)

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