Add 18/36 and 9/14
18/36 + 9/14 is 8/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 14 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 36 × 7 = 252,
18/36 = 18 × 7/36 × 7 = 126/252 - Likewise, for the 2nd fraction, since 14 × 18 = 252,
9/14 = 9 × 18/14 × 18 = 162/252 - Add the two like fractions:
126/252 + 162/252 = 126 + 162/252 = 288/252 - 288/252 simplified gives 8/7
- So, 18/36 + 9/14 = 8/7
In mixed form: 11/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/36+18/14 18/72+9/14 18/36+9/28 54/36+9/14 18/36+27/14 18/36+9/42 90/36+9/14 18/36+45/14 18/36+9/70 18/36+63/14 18/36+9/98