Add 18/27 and 40/12, Solve 18/27 + 3 4/12 as a fraction

Add 18/27 and 40/12

1^st number: 18/27, 2^nd number: 3 4/12

18/27 + 40/12 is 4/1.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 12 is 108

Next, find the equivalent fraction of both fractional numbers with denominator 108
For the 1st fraction, since 27 × 4 = 108,
18/27 = 18 × 4/27 × 4 = 72/108
Likewise, for the 2nd fraction, since 12 × 9 = 108,
40/12 = 40 × 9/12 × 9 = 360/108
Add the two like fractions:
72/108 + 360/108 = 72 + 360/108 = 432/108
432/108 simplified gives 4/1
So, 18/27 + 40/12 = 4/1

MathStep (Works offline)

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