Add 28/9 and 35/42
1st number: 3 1/9, 2nd number: 35/42
28/9 + 35/42 is 71/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
28/9 = 28 × 14/9 × 14 = 392/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
35/42 = 35 × 3/42 × 3 = 105/126 - Add the two like fractions:
392/126 + 105/126 = 392 + 105/126 = 497/126 - 497/126 simplified gives 71/18
- So, 28/9 + 35/42 = 71/18
In mixed form: 317/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/9+35/42 28/9+70/42 28/18+35/42 28/9+35/84 84/9+35/42 28/27+35/42 28/45+35/42 28/63+35/42