Add 35/14 and 70/9
1st number: 2 7/14, 2nd number: 7 7/9
35/14 + 70/9 is 185/18.
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,
70/9 = 70 × 14/9 × 14 = 980/126 - Add the two like fractions:
315/126 + 980/126 = 315 + 980/126 = 1295/126 - 1295/126 simplified gives 185/18
- So, 35/14 + 70/9 = 185/18
In mixed form: 105/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/14+70/9 35/28+70/9 35/14+70/18 35/42+70/9 35/14+70/27 35/70+70/9 35/14+70/45 35/98+70/9 35/14+70/63