Add 36/14 and 36/27, Solve 2 8/14 + 1 9/27 as a fraction

Add 36/14 and 36/27

1^st number: 2 8/14, 2^nd number: 1 9/27

36/14 + 36/27 is 82/21.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 14 × 27 = 378,
36/14 = 36 × 27/14 × 27 = 972/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
36/27 = 36 × 14/27 × 14 = 504/378
Add the two like fractions:
972/378 + 504/378 = 972 + 504/378 = 1476/378
1476/378 simplified gives 82/21
So, 36/14 + 36/27 = 82/21
In mixed form: 319/21

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad