Add 14/21 and 7/18
14/21 + 7/18 is 19/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 21 × 6 = 126,
14/21 = 14 × 6/21 × 6 = 84/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
7/18 = 7 × 7/18 × 7 = 49/126 - Add the two like fractions:
84/126 + 49/126 = 84 + 49/126 = 133/126 - 133/126 simplified gives 19/18
- So, 14/21 + 7/18 = 19/18
In mixed form: 11/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/21+7/18 14/21+14/18 14/42+7/18 14/21+7/36 42/21+7/18 14/21+21/18 14/63+7/18 14/21+7/54 70/21+7/18 14/21+35/18 14/21+7/90 98/21+7/18 14/21+49/18