Compare 8/9 and 49/40
1st number: 8/9, 2nd number: 1 9/40
8/9 is smaller than 49/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 9 × 40 = 360,
8/9 = 8 × 40/9 × 40 = 320/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
49/40 = 49 × 9/40 × 9 = 441/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/360 < 441/360 or 8/9 < 49/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/9 and 49/40 8/9 and 98/40 8/18 and 49/40 8/9 and 49/80 24/9 and 49/40 8/27 and 49/40 40/9 and 49/40 8/45 and 49/40 56/9 and 49/40 8/63 and 49/40