Add 21/84 and 14/27
21/84 + 14/27 is 83/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 84 × 9 = 756,
21/84 = 21 × 9/84 × 9 = 189/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
14/27 = 14 × 28/27 × 28 = 392/756 - Add the two like fractions:
189/756 + 392/756 = 189 + 392/756 = 581/756 - 581/756 simplified gives 83/108
- So, 21/84 + 14/27 = 83/108
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/84+14/27 21/84+28/27 21/84+14/54 63/84+14/27 21/84+42/27 21/84+14/81 21/84+70/27 21/84+98/27