Add 14/35 and 21/14
1st number: 14/35, 2nd number: 1 7/14
14/35 + 21/14 is 19/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 14 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 35 × 2 = 70,
14/35 = 14 × 2/35 × 2 = 28/70 - Likewise, for the 2nd fraction, since 14 × 5 = 70,
21/14 = 21 × 5/14 × 5 = 105/70 - Add the two like fractions:
28/70 + 105/70 = 28 + 105/70 = 133/70 - 133/70 simplified gives 19/10
- So, 14/35 + 21/14 = 19/10
In mixed form: 19/10
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/35+21/14 14/35+42/14 14/70+21/14 14/35+21/28 42/35+21/14 14/35+63/14 14/35+21/42 70/35+21/14 14/35+21/70 98/35+21/14 14/35+21/98