Add 1/9 and 12/16
1/9 + 12/16 is 31/36.
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,
1/9 = 1 × 16/9 × 16 = 16/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
12/16 = 12 × 9/16 × 9 = 108/144 - Add the two like fractions:
16/144 + 108/144 = 16 + 108/144 = 124/144 - 124/144 simplified gives 31/36
- So, 1/9 + 12/16 = 31/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/9+12/16 1/9+24/16 1/18+12/16 1/9+12/32 3/9+12/16 1/9+36/16 1/27+12/16 1/9+12/48 5/9+12/16 1/9+60/16 1/45+12/16 1/9+12/80 7/9+12/16 1/9+84/16 1/63+12/16