Add 12/9 and 27/16
1st number: 1 3/9, 2nd number: 1 11/16
12/9 + 27/16 is 145/48.
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,
12/9 = 12 × 16/9 × 16 = 192/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
27/16 = 27 × 9/16 × 9 = 243/144 - Add the two like fractions:
192/144 + 243/144 = 192 + 243/144 = 435/144 - 435/144 simplified gives 145/48
- So, 12/9 + 27/16 = 145/48
In mixed form: 31/48
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 24/9+27/16 12/9+54/16 12/18+27/16 12/9+27/32 36/9+27/16 12/9+81/16 12/27+27/16 12/9+27/48 60/9+27/16 12/45+27/16 12/9+27/80 84/9+27/16 12/63+27/16