Add 20/9 and 36/16
1st number: 2 2/9, 2nd number: 2 4/16
20/9 + 36/16 is 161/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 9 × 16 = 144,
20/9 = 20 × 16/9 × 16 = 320/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
36/16 = 36 × 9/16 × 9 = 324/144 - Add the two like fractions:
320/144 + 324/144 = 320 + 324/144 = 644/144 - 644/144 simplified gives 161/36
- So, 20/9 + 36/16 = 161/36
In mixed form: 417/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/9+36/16 20/9+72/16 20/18+36/16 20/9+36/32 60/9+36/16 20/27+36/16 20/9+36/48 20/45+36/16 20/9+36/80 20/63+36/16