Add 27/16 and 4/9
1st number: 1 11/16, 2nd number: 4/9
27/16 + 4/9 is 307/144.
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,
4/9 = 4 × 16/9 × 16 = 64/144 - Add the two like fractions:
243/144 + 64/144 = 243 + 64/144 = 307/144 - So, 27/16 + 4/9 = 307/144
In mixed form: 219/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/16+4/9 27/16+8/9 27/32+4/9 27/16+4/18 81/16+4/9 27/16+12/9 27/48+4/9 27/16+4/27 27/16+20/9 27/80+4/9 27/16+4/45 27/16+28/9 27/16+4/63