Add 18/9 and 27/16
1st number: 2 0/9, 2nd number: 1 11/16
18/9 + 27/16 is 59/16.
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,
18/9 = 18 × 16/9 × 16 = 288/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
27/16 = 27 × 9/16 × 9 = 243/144 - Add the two like fractions:
288/144 + 243/144 = 288 + 243/144 = 531/144 - 531/144 simplified gives 59/16
- So, 18/9 + 27/16 = 59/16
In mixed form: 311/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 36/9+27/16 18/9+54/16 18/9+27/32 54/9+27/16 18/9+81/16 18/27+27/16 18/9+27/48 90/9+27/16 18/45+27/16 18/9+27/80 18/63+27/16