Add 21/10 and 21/14
1st number: 2 1/10, 2nd number: 1 7/14
21/10 + 21/14 is 18/5.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 14 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 10 × 7 = 70,
21/10 = 21 × 7/10 × 7 = 147/70 - Likewise, for the 2nd fraction, since 14 × 5 = 70,
21/14 = 21 × 5/14 × 5 = 105/70 - Add the two like fractions:
147/70 + 105/70 = 147 + 105/70 = 252/70 - 252/70 simplified gives 18/5
- So, 21/10 + 21/14 = 18/5
In mixed form: 33/5
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/10+21/14 21/10+42/14 21/20+21/14 21/10+21/28 63/10+21/14 21/10+63/14 21/30+21/14 21/10+21/42 21/50+21/14 21/10+21/70 21/70+21/14 21/10+21/98