Add 10/12 and 12/21
10/12 + 12/21 is 59/42.
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,
12/21 = 12 × 4/21 × 4 = 48/84 - Add the two like fractions:
70/84 + 48/84 = 70 + 48/84 = 118/84 - 118/84 simplified gives 59/42
- So, 10/12 + 12/21 = 59/42
In mixed form: 117/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/12+12/21 10/12+24/21 10/24+12/21 10/12+12/42 30/12+12/21 10/12+36/21 10/36+12/21 10/12+12/63 50/12+12/21 10/12+60/21 10/60+12/21 70/12+12/21 10/12+84/21 10/84+12/21