Add 7/9 and 35/42
7/9 + 35/42 is 29/18.
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,
7/9 = 7 × 14/9 × 14 = 98/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
35/42 = 35 × 3/42 × 3 = 105/126 - Add the two like fractions:
98/126 + 105/126 = 98 + 105/126 = 203/126 - 203/126 simplified gives 29/18
- So, 7/9 + 35/42 = 29/18
In mixed form: 111/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/9+35/42 7/9+70/42 7/18+35/42 7/9+35/84 21/9+35/42 7/27+35/42 35/9+35/42 7/45+35/42 49/9+35/42 7/63+35/42