Add 6/40 and 35/12, Solve 6/40 + 2 11/12 as a fraction

Add 6/40 and 35/12

1^st number: 6/40, 2^nd number: 2 11/12

6/40 + 35/12 is 46/15.

Find the least common denominator or LCM of the two denominators:
LCM of 40 and 12 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 40 × 3 = 120,
6/40 = 6 × 3/40 × 3 = 18/120
Likewise, for the 2nd fraction, since 12 × 10 = 120,
35/12 = 35 × 10/12 × 10 = 350/120
Add the two like fractions:
18/120 + 350/120 = 18 + 350/120 = 368/120
368/120 simplified gives 46/15
So, 6/40 + 35/12 = 46/15
In mixed form: 31/15

MathStep (Works offline)

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