Add 40/42 and 20/9
1st number: 40/42, 2nd number: 2 2/9
40/42 + 20/9 is 200/63.
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,
40/42 = 40 × 3/42 × 3 = 120/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
20/9 = 20 × 14/9 × 14 = 280/126 - Add the two like fractions:
120/126 + 280/126 = 120 + 280/126 = 400/126 - 400/126 simplified gives 200/63
- So, 40/42 + 20/9 = 200/63
In mixed form: 311/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/42+20/9 40/42+40/9 40/84+20/9 40/42+20/18 40/42+60/9 40/42+20/27 40/42+20/45 40/42+20/63