Add 36/10 and 14/27, Solve 3 6/10 + 14/27 as a fraction

Add 36/10 and 14/27

1^st number: 3 6/10, 2^nd number: 14/27

36/10 + 14/27 is 556/135.

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 27 is 270

Next, find the equivalent fraction of both fractional numbers with denominator 270
For the 1st fraction, since 10 × 27 = 270,
36/10 = 36 × 27/10 × 27 = 972/270
Likewise, for the 2nd fraction, since 27 × 10 = 270,
14/27 = 14 × 10/27 × 10 = 140/270
Add the two like fractions:
972/270 + 140/270 = 972 + 140/270 = 1112/270
1112/270 simplified gives 556/135
So, 36/10 + 14/27 = 556/135
In mixed form: 416/135

MathStep (Works offline)

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