Add 4/9 and 35/16
1st number: 4/9, 2nd number: 2 3/16
4/9 + 35/16 is 379/144.
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,
4/9 = 4 × 16/9 × 16 = 64/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
35/16 = 35 × 9/16 × 9 = 315/144 - Add the two like fractions:
64/144 + 315/144 = 64 + 315/144 = 379/144 - So, 4/9 + 35/16 = 379/144
In mixed form: 291/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/9+35/16 4/9+70/16 4/18+35/16 4/9+35/32 12/9+35/16 4/27+35/16 4/9+35/48 20/9+35/16 4/45+35/16 4/9+35/80 28/9+35/16 4/63+35/16