Compare 49/40 and 84/56
1st number: 1 9/40, 2nd number: 1 28/56
49/40 is smaller than 84/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 56 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 56 × 5 = 280,
84/56 = 84 × 5/56 × 5 = 420/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 343/280 < 420/280 or 49/40 < 84/56
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 84/56 49/80 and 84/56