Add 40/6 and 45/21
1st number: 6 4/6, 2nd number: 2 3/21
40/6 + 45/21 is 185/21.
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,
45/21 = 45 × 2/21 × 2 = 90/42 - Add the two like fractions:
280/42 + 90/42 = 280 + 90/42 = 370/42 - 370/42 simplified gives 185/21
- So, 40/6 + 45/21 = 185/21
In mixed form: 817/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/6+45/21 40/6+90/21 40/12+45/21 40/6+45/42 40/18+45/21 40/6+45/63 40/30+45/21 40/42+45/21