Add 8/9 and 35/14
1st number: 8/9, 2nd number: 2 7/14
8/9 + 35/14 is 61/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 14 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 14 × 9 = 126,
35/14 = 35 × 9/14 × 9 = 315/126 - Add the two like fractions:
112/126 + 315/126 = 112 + 315/126 = 427/126 - 427/126 simplified gives 61/18
- So, 8/9 + 35/14 = 61/18
In mixed form: 37/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/9+35/14 8/9+70/14 8/18+35/14 8/9+35/28 24/9+35/14 8/27+35/14 8/9+35/42 40/9+35/14 8/45+35/14 8/9+35/70 56/9+35/14 8/63+35/14 8/9+35/98