Add 40/6 and 9/21
1st number: 6 4/6, 2nd number: 9/21
40/6 + 9/21 is 149/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 6 × 7 = 42,
40/6 = 40 × 7/6 × 7 = 280/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
9/21 = 9 × 2/21 × 2 = 18/42 - Add the two like fractions:
280/42 + 18/42 = 280 + 18/42 = 298/42 - 298/42 simplified gives 149/21
- So, 40/6 + 9/21 = 149/21
In mixed form: 72/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/6+9/21 40/6+18/21 40/12+9/21 40/6+9/42 40/6+27/21 40/18+9/21 40/6+9/63 40/6+45/21 40/30+9/21 40/6+63/21 40/42+9/21