Add 7/14 and 28/35
7/14 + 28/35 is 13/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 35 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 14 × 5 = 70,
7/14 = 7 × 5/14 × 5 = 35/70 - Likewise, for the 2nd fraction, since 35 × 2 = 70,
28/35 = 28 × 2/35 × 2 = 56/70 - Add the two like fractions:
35/70 + 56/70 = 35 + 56/70 = 91/70 - 91/70 simplified gives 13/10
- So, 7/14 + 28/35 = 13/10
In mixed form: 13/10
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 7/14+56/35 7/28+28/35 7/14+28/70 21/14+28/35 7/14+84/35 7/42+28/35 35/14+28/35 7/70+28/35 49/14+28/35 7/98+28/35