Add 40/6 and 32/35, Solve 6 4/6 + 32/35 as a fraction

Add 40/6 and 32/35

1^st number: 6 4/6, 2^nd number: 32/35

40/6 + 32/35 is 796/105.

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

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 6 × 35 = 210,
40/6 = 40 × 35/6 × 35 = 1400/210
Likewise, for the 2nd fraction, since 35 × 6 = 210,
32/35 = 32 × 6/35 × 6 = 192/210
Add the two like fractions:
1400/210 + 192/210 = 1400 + 192/210 = 1592/210
1592/210 simplified gives 796/105
So, 40/6 + 32/35 = 796/105
In mixed form: 761/105

MathStep (Works offline)

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