Compare 35/84 and 45/4, Which fraction is greater?

Compare 35/84 and 45/4

1^st number: 35/84, 2^nd number: 11 1/4

35/84 is smaller than 45/4

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 4 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 84 × 1 = 84,
35/84 = 35 × 1/84 × 1 = 35/84
Likewise, for the 2nd fraction, since 4 × 21 = 84,
45/4 = 45 × 21/4 × 21 = 945/84
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
35/84 < 945/84 or 35/84 < 45/4

MathStep (Works offline)

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