Add 27/16 and 8/9
1st number: 1 11/16, 2nd number: 8/9
27/16 + 8/9 is 371/144.
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,
8/9 = 8 × 16/9 × 16 = 128/144 - Add the two like fractions:
243/144 + 128/144 = 243 + 128/144 = 371/144 - So, 27/16 + 8/9 = 371/144
In mixed form: 283/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/16+8/9 27/16+16/9 27/32+8/9 27/16+8/18 81/16+8/9 27/16+24/9 27/48+8/9 27/16+8/27 27/16+40/9 27/80+8/9 27/16+8/45 27/16+56/9 27/16+8/63