Add 42/35 and 21/14
1st number: 1 7/35, 2nd number: 1 7/14
42/35 + 21/14 is 27/10.
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,
42/35 = 42 × 2/35 × 2 = 84/70 - Likewise, for the 2nd fraction, since 14 × 5 = 70,
21/14 = 21 × 5/14 × 5 = 105/70 - Add the two like fractions:
84/70 + 105/70 = 84 + 105/70 = 189/70 - 189/70 simplified gives 27/10
- So, 42/35 + 21/14 = 27/10
In mixed form: 27/10
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/35+21/14 42/35+42/14 42/70+21/14 42/35+21/28 42/35+63/14 42/35+21/42 42/35+21/70 42/35+21/98