Add 36/9 and 35/14
1st number: 4 0/9, 2nd number: 2 7/14
36/9 + 35/14 is 13/2.
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,
36/9 = 36 × 14/9 × 14 = 504/126 - Likewise, for the 2nd fraction, since 14 × 9 = 126,
35/14 = 35 × 9/14 × 9 = 315/126 - Add the two like fractions:
504/126 + 315/126 = 504 + 315/126 = 819/126 - 819/126 simplified gives 13/2
- So, 36/9 + 35/14 = 13/2
In mixed form: 61/2
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/9+35/14 36/9+70/14 36/18+35/14 36/9+35/28 36/27+35/14 36/9+35/42 36/45+35/14 36/9+35/70 36/63+35/14 36/9+35/98