Add 14/36 and 9/14
14/36 + 9/14 is 65/63.
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,
14/36 = 14 × 7/36 × 7 = 98/252 - Likewise, for the 2nd fraction, since 14 × 18 = 252,
9/14 = 9 × 18/14 × 18 = 162/252 - Add the two like fractions:
98/252 + 162/252 = 98 + 162/252 = 260/252 - 260/252 simplified gives 65/63
- So, 14/36 + 9/14 = 65/63
In mixed form: 12/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/36+9/14 14/36+18/14 14/72+9/14 14/36+9/28 42/36+9/14 14/36+27/14 14/36+9/42 70/36+9/14 14/36+45/14 14/36+9/70 98/36+9/14 14/36+63/14 14/36+9/98