Add 40/9 and 21/5
1st number: 4 4/9, 2nd number: 4 1/5
40/9 + 21/5 is 389/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 5 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 9 × 5 = 45,
40/9 = 40 × 5/9 × 5 = 200/45 - Likewise, for the 2nd fraction, since 5 × 9 = 45,
21/5 = 21 × 9/5 × 9 = 189/45 - Add the two like fractions:
200/45 + 189/45 = 200 + 189/45 = 389/45 - So, 40/9 + 21/5 = 389/45
In mixed form: 829/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/9+21/5 40/9+42/5 40/18+21/5 40/9+21/10 40/9+63/5 40/27+21/5 40/9+21/15 40/45+21/5 40/9+21/25 40/63+21/5 40/9+21/35