Add 10/12 and 40/21
1st number: 10/12, 2nd number: 1 19/21
10/12 + 40/21 is 115/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
10/12 = 10 × 7/12 × 7 = 70/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
40/21 = 40 × 4/21 × 4 = 160/84 - Add the two like fractions:
70/84 + 160/84 = 70 + 160/84 = 230/84 - 230/84 simplified gives 115/42
- So, 10/12 + 40/21 = 115/42
In mixed form: 231/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/12+40/21 10/12+80/21 10/24+40/21 10/12+40/42 30/12+40/21 10/36+40/21 10/12+40/63 50/12+40/21 10/60+40/21 70/12+40/21 10/84+40/21