Add 20/21 and 12/14
20/21 + 12/14 is 38/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 14 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 21 × 2 = 42,
20/21 = 20 × 2/21 × 2 = 40/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
12/14 = 12 × 3/14 × 3 = 36/42 - Add the two like fractions:
40/42 + 36/42 = 40 + 36/42 = 76/42 - 76/42 simplified gives 38/21
- So, 20/21 + 12/14 = 38/21
In mixed form: 117/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/21+12/14 20/21+24/14 20/42+12/14 20/21+12/28 60/21+12/14 20/21+36/14 20/63+12/14 20/21+12/42 20/21+60/14 20/21+12/70 20/21+84/14 20/21+12/98