Add 20/9 and 12/42
1st number: 2 2/9, 2nd number: 12/42
20/9 + 12/42 is 158/63.
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,
12/42 = 12 × 3/42 × 3 = 36/126 - Add the two like fractions:
280/126 + 36/126 = 280 + 36/126 = 316/126 - 316/126 simplified gives 158/63
- So, 20/9 + 12/42 = 158/63
In mixed form: 232/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/9+12/42 20/9+24/42 20/18+12/42 20/9+12/84 60/9+12/42 20/9+36/42 20/27+12/42 20/9+60/42 20/45+12/42 20/9+84/42 20/63+12/42