Add 45/12 and 6/18, Solve 3 9/12 + 6/18 as a fraction

Add 45/12 and 6/18

1^st number: 3 9/12, 2^nd number: 6/18

45/12 + 6/18 is 49/12.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 18 is 36

Next, find the equivalent fraction of both fractional numbers with denominator 36
For the 1st fraction, since 12 × 3 = 36,
45/12 = 45 × 3/12 × 3 = 135/36
Likewise, for the 2nd fraction, since 18 × 2 = 36,
6/18 = 6 × 2/18 × 2 = 12/36
Add the two like fractions:
135/36 + 12/36 = 135 + 12/36 = 147/36
147/36 simplified gives 49/12
So, 45/12 + 6/18 = 49/12
In mixed form: 41/12

MathStep (Works offline)

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