Add 1/5 and 21/14
1st number: 1/5, 2nd number: 1 7/14
1/5 + 21/14 is 17/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 14 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 5 × 14 = 70,
1/5 = 1 × 14/5 × 14 = 14/70 - Likewise, for the 2nd fraction, since 14 × 5 = 70,
21/14 = 21 × 5/14 × 5 = 105/70 - Add the two like fractions:
14/70 + 105/70 = 14 + 105/70 = 119/70 - 119/70 simplified gives 17/10
- So, 1/5 + 21/14 = 17/10
In mixed form: 17/10
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/5+21/14 1/5+42/14 1/10+21/14 1/5+21/28 3/5+21/14 1/5+63/14 1/15+21/14 1/5+21/42 1/25+21/14 1/5+21/70 7/5+21/14 1/35+21/14 1/5+21/98