Add 49/40 and 20/9
1st number: 1 9/40, 2nd number: 2 2/9
49/40 + 20/9 is 1241/360.
Steps for adding 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,
20/9 = 20 × 40/9 × 40 = 800/360 - Add the two like fractions:
441/360 + 800/360 = 441 + 800/360 = 1241/360 - So, 49/40 + 20/9 = 1241/360
In mixed form: 3161/360
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/40+20/9 49/40+40/9 49/80+20/9 49/40+20/18 49/40+60/9 49/40+20/27 49/40+20/45 49/40+20/63