Add 35/84 and 8/3
1st number: 35/84, 2nd number: 2 2/3
35/84 + 8/3 is 37/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 3 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 84 × 1 = 84,
35/84 = 35 × 1/84 × 1 = 35/84 - Likewise, for the 2nd fraction, since 3 × 28 = 84,
8/3 = 8 × 28/3 × 28 = 224/84 - Add the two like fractions:
35/84 + 224/84 = 35 + 224/84 = 259/84 - 259/84 simplified gives 37/12
- So, 35/84 + 8/3 = 37/12
In mixed form: 31/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/84+8/3 35/84+16/3 35/84+8/6 35/84+24/3 35/84+8/9 35/84+40/3 35/84+8/15 35/84+56/3 35/84+8/21