Add 27/16 and 2/9
1st number: 1 11/16, 2nd number: 2/9
27/16 + 2/9 is 275/144.
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,
27/16 = 27 × 9/16 × 9 = 243/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
2/9 = 2 × 16/9 × 16 = 32/144 - Add the two like fractions:
243/144 + 32/144 = 243 + 32/144 = 275/144 - So, 27/16 + 2/9 = 275/144
In mixed form: 1131/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/16+2/9 27/16+4/9 27/32+2/9 27/16+2/18 81/16+2/9 27/16+6/9 27/48+2/9 27/16+2/27 27/16+10/9 27/80+2/9 27/16+2/45 27/16+14/9 27/16+2/63