Add 8/9 and 35/42
8/9 + 35/42 is 31/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
8/9 = 8 × 14/9 × 14 = 112/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
35/42 = 35 × 3/42 × 3 = 105/126 - Add the two like fractions:
112/126 + 105/126 = 112 + 105/126 = 217/126 - 217/126 simplified gives 31/18
- So, 8/9 + 35/42 = 31/18
In mixed form: 113/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/9+35/42 8/9+70/42 8/18+35/42 8/9+35/84 24/9+35/42 8/27+35/42 40/9+35/42 8/45+35/42 56/9+35/42 8/63+35/42