Add 5/9 and 35/42
5/9 + 35/42 is 25/18.
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,
5/9 = 5 × 14/9 × 14 = 70/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
35/42 = 35 × 3/42 × 3 = 105/126 - Add the two like fractions:
70/126 + 105/126 = 70 + 105/126 = 175/126 - 175/126 simplified gives 25/18
- So, 5/9 + 35/42 = 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: 10/9+35/42 5/9+70/42 5/18+35/42 5/9+35/84 15/9+35/42 5/27+35/42 25/9+35/42 5/45+35/42 35/9+35/42 5/63+35/42