Add 21/14 and 28/9
1st number: 1 7/14, 2nd number: 3 1/9
21/14 + 28/9 is 83/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 14 × 9 = 126,
21/14 = 21 × 9/14 × 9 = 189/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
28/9 = 28 × 14/9 × 14 = 392/126 - Add the two like fractions:
189/126 + 392/126 = 189 + 392/126 = 581/126 - 581/126 simplified gives 83/18
- So, 21/14 + 28/9 = 83/18
In mixed form: 411/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/14+28/9 21/14+56/9 21/28+28/9 21/14+28/18 63/14+28/9 21/14+84/9 21/42+28/9 21/14+28/27 21/70+28/9 21/14+28/45 21/98+28/9 21/14+28/63