Add 4/9 and 30/16
1st number: 4/9, 2nd number: 1 14/16
4/9 + 30/16 is 167/72.
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,
30/16 = 30 × 9/16 × 9 = 270/144 - Add the two like fractions:
64/144 + 270/144 = 64 + 270/144 = 334/144 - 334/144 simplified gives 167/72
- So, 4/9 + 30/16 = 167/72
In mixed form: 223/72
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/9+30/16 4/9+60/16 4/18+30/16 4/9+30/32 12/9+30/16 4/9+90/16 4/27+30/16 4/9+30/48 20/9+30/16 4/45+30/16 4/9+30/80 28/9+30/16 4/63+30/16