Add 2/9 and 36/42
2/9 + 36/42 is 68/63.
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,
2/9 = 2 × 14/9 × 14 = 28/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
36/42 = 36 × 3/42 × 3 = 108/126 - Add the two like fractions:
28/126 + 108/126 = 28 + 108/126 = 136/126 - 136/126 simplified gives 68/63
- So, 2/9 + 36/42 = 68/63
In mixed form: 15/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 4/9+36/42 2/9+72/42 2/18+36/42 2/9+36/84 6/9+36/42 2/27+36/42 10/9+36/42 2/45+36/42 14/9+36/42 2/63+36/42