Add 21/27 and 7/18
21/27 + 7/18 is 7/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 18 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 27 × 2 = 54,
21/27 = 21 × 2/27 × 2 = 42/54 - Likewise, for the 2nd fraction, since 18 × 3 = 54,
7/18 = 7 × 3/18 × 3 = 21/54 - Add the two like fractions:
42/54 + 21/54 = 42 + 21/54 = 63/54 - 63/54 simplified gives 7/6
- So, 21/27 + 7/18 = 7/6
In mixed form: 11/6
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/27+7/18 21/27+14/18 21/54+7/18 21/27+7/36 63/27+7/18 21/27+21/18 21/81+7/18 21/27+7/54 21/27+35/18 21/27+7/90 21/27+49/18