Add 35/42 and 5/9
35/42 + 5/9 is 25/18.
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,
5/9 = 5 × 14/9 × 14 = 70/126 - Add the two like fractions:
105/126 + 70/126 = 105 + 70/126 = 175/126 - 175/126 simplified gives 25/18
- So, 35/42 + 5/9 = 25/18
In mixed form: 17/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/42+5/9 35/42+10/9 35/84+5/9 35/42+5/18 35/42+15/9 35/42+5/27 35/42+25/9 35/42+5/45 35/42+35/9 35/42+5/63