Add 12/35 and 40/6, Solve 12/35 + 6 4/6 as a fraction

Add 12/35 and 40/6

1^st number: 12/35, 2^nd number: 6 4/6

12/35 + 40/6 is 736/105.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 6 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 35 × 6 = 210,
12/35 = 12 × 6/35 × 6 = 72/210
Likewise, for the 2nd fraction, since 6 × 35 = 210,
40/6 = 40 × 35/6 × 35 = 1400/210
Add the two like fractions:
72/210 + 1400/210 = 72 + 1400/210 = 1472/210
1472/210 simplified gives 736/105
So, 12/35 + 40/6 = 736/105
In mixed form: 71/105

MathStep (Works offline)

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