Add 9/14 and 14/21
9/14 + 14/21 is 55/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
9/14 = 9 × 3/14 × 3 = 27/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
14/21 = 14 × 2/21 × 2 = 28/42 - Add the two like fractions:
27/42 + 28/42 = 27 + 28/42 = 55/42 - So, 9/14 + 14/21 = 55/42
In mixed form: 113/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/14+14/21 9/14+28/21 9/28+14/21 9/14+14/42 27/14+14/21 9/14+42/21 9/42+14/21 9/14+14/63 45/14+14/21 9/14+70/21 9/70+14/21 63/14+14/21 9/14+98/21 9/98+14/21