Add 36/16 and 20/9
1st number: 2 4/16, 2nd number: 2 2/9
36/16 + 20/9 is 161/36.
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,
36/16 = 36 × 9/16 × 9 = 324/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
20/9 = 20 × 16/9 × 16 = 320/144 - Add the two like fractions:
324/144 + 320/144 = 324 + 320/144 = 644/144 - 644/144 simplified gives 161/36
- So, 36/16 + 20/9 = 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: 72/16+20/9 36/16+40/9 36/32+20/9 36/16+20/18 36/16+60/9 36/48+20/9 36/16+20/27 36/80+20/9 36/16+20/45 36/16+20/63