Add 8/14 and 21/27
8/14 + 21/27 is 85/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 14 × 27 = 378,
8/14 = 8 × 27/14 × 27 = 216/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
21/27 = 21 × 14/27 × 14 = 294/378 - Add the two like fractions:
216/378 + 294/378 = 216 + 294/378 = 510/378 - 510/378 simplified gives 85/63
- So, 8/14 + 21/27 = 85/63
In mixed form: 122/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/14+21/27 8/14+42/27 8/28+21/27 8/14+21/54 24/14+21/27 8/14+63/27 8/42+21/27 8/14+21/81 40/14+21/27 8/70+21/27 56/14+21/27 8/98+21/27