Compare 49/40 and 35/28
1st number: 1 9/40, 2nd number: 1 7/28
49/40 is smaller than 35/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 28 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
49/40 = 49 × 7/40 × 7 = 343/280 - Likewise, for the 2nd fraction, since 28 × 10 = 280,
35/28 = 35 × 10/28 × 10 = 350/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 343/280 < 350/280 or 49/40 < 35/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/40 and 35/28 49/40 and 70/28 49/80 and 35/28 49/40 and 35/56 49/40 and 35/84