Add 18/27 and 35/14
1st number: 18/27, 2nd number: 2 7/14
18/27 + 35/14 is 19/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 14 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
18/27 = 18 × 14/27 × 14 = 252/378 - Likewise, for the 2nd fraction, since 14 × 27 = 378,
35/14 = 35 × 27/14 × 27 = 945/378 - Add the two like fractions:
252/378 + 945/378 = 252 + 945/378 = 1197/378 - 1197/378 simplified gives 19/6
- So, 18/27 + 35/14 = 19/6
In mixed form: 31/6
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 36/27+35/14 18/27+70/14 18/54+35/14 18/27+35/28 54/27+35/14 18/81+35/14 18/27+35/42 90/27+35/14 18/27+35/70 18/27+35/98