Add 4/9 and 35/36
4/9 + 35/36 is 17/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 36 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 9 × 4 = 36,
4/9 = 4 × 4/9 × 4 = 16/36 - Likewise, for the 2nd fraction, since 36 × 1 = 36,
35/36 = 35 × 1/36 × 1 = 35/36 - Add the two like fractions:
16/36 + 35/36 = 16 + 35/36 = 51/36 - 51/36 simplified gives 17/12
- So, 4/9 + 35/36 = 17/12
In mixed form: 15/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/9+35/36 4/9+70/36 4/18+35/36 4/9+35/72 12/9+35/36 4/27+35/36 20/9+35/36 4/45+35/36 28/9+35/36 4/63+35/36