Add 8/3 and 36/42
1st number: 2 2/3, 2nd number: 36/42
8/3 + 36/42 is 74/21.
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,
36/42 = 36 × 1/42 × 1 = 36/42 - Add the two like fractions:
112/42 + 36/42 = 112 + 36/42 = 148/42 - 148/42 simplified gives 74/21
- So, 8/3 + 36/42 = 74/21
In mixed form: 311/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/3+36/42 8/3+72/42 8/6+36/42 8/3+36/84 24/3+36/42 8/9+36/42 40/3+36/42 8/15+36/42 56/3+36/42 8/21+36/42