Compare 10/7 and 35/40, Which fraction is greater?

Compare 10/7 and 35/40

1^st number: 1 3/7, 2^nd number: 35/40

10/7 is greater than 35/40

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 40 is 280

Next, find the equivalent fraction of both fractional numbers with denominator 280
For the 1st fraction, since 7 × 40 = 280,
10/7 = 10 × 40/7 × 40 = 400/280
Likewise, for the 2nd fraction, since 40 × 7 = 280,
35/40 = 35 × 7/40 × 7 = 245/280
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
400/280 > 245/280 or 10/7 > 35/40

MathStep (Works offline)

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