Add 20/3 and 21/42
1st number: 6 2/3, 2nd number: 21/42
20/3 + 21/42 is 43/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 3 × 14 = 42,
20/3 = 20 × 14/3 × 14 = 280/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
21/42 = 21 × 1/42 × 1 = 21/42 - Add the two like fractions:
280/42 + 21/42 = 280 + 21/42 = 301/42 - 301/42 simplified gives 43/6
- So, 20/3 + 21/42 = 43/6
In mixed form: 71/6
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/3+21/42 20/6+21/42 20/3+21/84 60/3+21/42 20/3+63/42 20/9+21/42 20/15+21/42 20/21+21/42