Add 20/9 and 49/35
1st number: 2 2/9, 2nd number: 1 14/35
20/9 + 49/35 is 163/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 9 × 35 = 315,
20/9 = 20 × 35/9 × 35 = 700/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
49/35 = 49 × 9/35 × 9 = 441/315 - Add the two like fractions:
700/315 + 441/315 = 700 + 441/315 = 1141/315 - 1141/315 simplified gives 163/45
- So, 20/9 + 49/35 = 163/45
In mixed form: 328/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/9+49/35 20/9+98/35 20/18+49/35 20/9+49/70 60/9+49/35 20/27+49/35 20/45+49/35 20/63+49/35