Add 35/14 and 7/9
1st number: 2 7/14, 2nd number: 7/9
35/14 + 7/9 is 59/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 14 × 9 = 126,
35/14 = 35 × 9/14 × 9 = 315/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
7/9 = 7 × 14/9 × 14 = 98/126 - Add the two like fractions:
315/126 + 98/126 = 315 + 98/126 = 413/126 - 413/126 simplified gives 59/18
- So, 35/14 + 7/9 = 59/18
In mixed form: 35/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/14+7/9 35/14+14/9 35/28+7/9 35/14+7/18 35/14+21/9 35/42+7/9 35/14+7/27 35/14+35/9 35/70+7/9 35/14+7/45 35/14+49/9 35/98+7/9 35/14+7/63