Add 14/21 and 28/9
1st number: 14/21, 2nd number: 3 1/9
14/21 + 28/9 is 34/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 9 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 21 × 3 = 63,
14/21 = 14 × 3/21 × 3 = 42/63 - Likewise, for the 2nd fraction, since 9 × 7 = 63,
28/9 = 28 × 7/9 × 7 = 196/63 - Add the two like fractions:
42/63 + 196/63 = 42 + 196/63 = 238/63 - 238/63 simplified gives 34/9
- So, 14/21 + 28/9 = 34/9
In mixed form: 37/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/21+28/9 14/21+56/9 14/42+28/9 14/21+28/18 42/21+28/9 14/21+84/9 14/63+28/9 14/21+28/27 70/21+28/9 14/21+28/45 98/21+28/9 14/21+28/63