Add 40/9 and 21/42
1st number: 4 4/9, 2nd number: 21/42
40/9 + 21/42 is 89/18.
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,
40/9 = 40 × 14/9 × 14 = 560/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
21/42 = 21 × 3/42 × 3 = 63/126 - Add the two like fractions:
560/126 + 63/126 = 560 + 63/126 = 623/126 - 623/126 simplified gives 89/18
- So, 40/9 + 21/42 = 89/18
In mixed form: 417/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/9+21/42 40/18+21/42 40/9+21/84 40/9+63/42 40/27+21/42 40/45+21/42 40/63+21/42