Add 35/16 and 20/9
1st number: 2 3/16, 2nd number: 2 2/9
35/16 + 20/9 is 635/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 9 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 16 × 9 = 144,
35/16 = 35 × 9/16 × 9 = 315/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
20/9 = 20 × 16/9 × 16 = 320/144 - Add the two like fractions:
315/144 + 320/144 = 315 + 320/144 = 635/144 - So, 35/16 + 20/9 = 635/144
In mixed form: 459/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/16+20/9 35/16+40/9 35/32+20/9 35/16+20/18 35/16+60/9 35/48+20/9 35/16+20/27 35/80+20/9 35/16+20/45 35/16+20/63