Add 14/21 and 9/4
1st number: 14/21, 2nd number: 2 1/4
14/21 + 9/4 is 35/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 4 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 21 × 4 = 84,
14/21 = 14 × 4/21 × 4 = 56/84 - Likewise, for the 2nd fraction, since 4 × 21 = 84,
9/4 = 9 × 21/4 × 21 = 189/84 - Add the two like fractions:
56/84 + 189/84 = 56 + 189/84 = 245/84 - 245/84 simplified gives 35/12
- So, 14/21 + 9/4 = 35/12
In mixed form: 211/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/21+9/4 14/21+18/4 14/42+9/4 14/21+9/8 42/21+9/4 14/21+27/4 14/63+9/4 14/21+9/12 70/21+9/4 14/21+45/4 14/21+9/20 98/21+9/4 14/21+63/4 14/21+9/28