Compare 9/40 and 20/7
1st number: 9/40, 2nd number: 2 6/7
9/40 is smaller than 20/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 7 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
9/40 = 9 × 7/40 × 7 = 63/280 - Likewise, for the 2nd fraction, since 7 × 40 = 280,
20/7 = 20 × 40/7 × 40 = 800/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/280 < 800/280 or 9/40 < 20/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/40 and 20/7 9/40 and 40/7 9/80 and 20/7 9/40 and 20/14 27/40 and 20/7 9/40 and 60/7 9/40 and 20/21 45/40 and 20/7 9/40 and 20/35 63/40 and 20/7 9/40 and 20/49