Add 20/9 and 36/42
1st number: 2 2/9, 2nd number: 36/42
20/9 + 36/42 is 194/63.
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,
20/9 = 20 × 14/9 × 14 = 280/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
36/42 = 36 × 3/42 × 3 = 108/126 - Add the two like fractions:
280/126 + 108/126 = 280 + 108/126 = 388/126 - 388/126 simplified gives 194/63
- So, 20/9 + 36/42 = 194/63
In mixed form: 35/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/9+36/42 20/9+72/42 20/18+36/42 20/9+36/84 60/9+36/42 20/27+36/42 20/45+36/42 20/63+36/42