Add 35/42 and 6/9
35/42 + 6/9 is 3/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 42 × 3 = 126,
35/42 = 35 × 3/42 × 3 = 105/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
6/9 = 6 × 14/9 × 14 = 84/126 - Add the two like fractions:
105/126 + 84/126 = 105 + 84/126 = 189/126 - 189/126 simplified gives 3/2
- So, 35/42 + 6/9 = 3/2
In mixed form: 11/2
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/42+6/9 35/42+12/9 35/84+6/9 35/42+6/18 35/42+18/9 35/42+6/27 35/42+30/9 35/42+6/45 35/42+42/9 35/42+6/63