Compare 49/40 and 32/9
1st number: 1 9/40, 2nd number: 3 5/9
49/40 is smaller than 32/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 9 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
49/40 = 49 × 9/40 × 9 = 441/360 - Likewise, for the 2nd fraction, since 9 × 40 = 360,
32/9 = 32 × 40/9 × 40 = 1280/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 441/360 < 1280/360 or 49/40 < 32/9
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 32/9 49/40 and 64/9 49/80 and 32/9 49/40 and 32/18 49/40 and 96/9 49/40 and 32/27 49/40 and 32/45 49/40 and 32/63