Add 35/14 and 10/9
1st number: 2 7/14, 2nd number: 1 1/9
35/14 + 10/9 is 65/18.
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,
10/9 = 10 × 14/9 × 14 = 140/126 - Add the two like fractions:
315/126 + 140/126 = 315 + 140/126 = 455/126 - 455/126 simplified gives 65/18
- So, 35/14 + 10/9 = 65/18
In mixed form: 311/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/14+10/9 35/14+20/9 35/28+10/9 35/14+10/18 35/14+30/9 35/42+10/9 35/14+10/27 35/14+50/9 35/70+10/9 35/14+10/45 35/14+70/9 35/98+10/9 35/14+10/63