Add 45/12 and 35/27, Solve 3 9/12 + 1 8/27 as a fraction

Add 45/12 and 35/27

1^st number: 3 9/12, 2^nd number: 1 8/27

45/12 + 35/27 is 545/108.

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

Next, find the equivalent fraction of both fractional numbers with denominator 108
For the 1st fraction, since 12 × 9 = 108,
45/12 = 45 × 9/12 × 9 = 405/108
Likewise, for the 2nd fraction, since 27 × 4 = 108,
35/27 = 35 × 4/27 × 4 = 140/108
Add the two like fractions:
405/108 + 140/108 = 405 + 140/108 = 545/108
So, 45/12 + 35/27 = 545/108
In mixed form: 55/108

MathStep (Works offline)

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