Add 8/3 and 21/42
1st number: 2 2/3, 2nd number: 21/42
8/3 + 21/42 is 19/6.
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,
8/3 = 8 × 14/3 × 14 = 112/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
21/42 = 21 × 1/42 × 1 = 21/42 - Add the two like fractions:
112/42 + 21/42 = 112 + 21/42 = 133/42 - 133/42 simplified gives 19/6
- So, 8/3 + 21/42 = 19/6
In mixed form: 31/6
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/3+21/42 8/6+21/42 8/3+21/84 24/3+21/42 8/3+63/42 8/9+21/42 40/3+21/42 8/15+21/42 56/3+21/42 8/21+21/42