Add 21/10 and 40/9
1st number: 2 1/10, 2nd number: 4 4/9
21/10 + 40/9 is 589/90.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 9 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 10 × 9 = 90,
21/10 = 21 × 9/10 × 9 = 189/90 - Likewise, for the 2nd fraction, since 9 × 10 = 90,
40/9 = 40 × 10/9 × 10 = 400/90 - Add the two like fractions:
189/90 + 400/90 = 189 + 400/90 = 589/90 - So, 21/10 + 40/9 = 589/90
In mixed form: 649/90
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/10+40/9 21/10+80/9 21/20+40/9 21/10+40/18 63/10+40/9 21/30+40/9 21/10+40/27 21/50+40/9 21/10+40/45 21/70+40/9 21/10+40/63