Add 20/3 and 4/10, Solve 6 2/3 + 4/10 as a fraction

Add 20/3 and 4/10

1^st number: 6 2/3, 2^nd number: 4/10

20/3 + 4/10 is 106/15.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 10 is 30

Next, find the equivalent fraction of both fractional numbers with denominator 30
For the 1st fraction, since 3 × 10 = 30,
20/3 = 20 × 10/3 × 10 = 200/30
Likewise, for the 2nd fraction, since 10 × 3 = 30,
4/10 = 4 × 3/10 × 3 = 12/30
Add the two like fractions:
200/30 + 12/30 = 200 + 12/30 = 212/30
212/30 simplified gives 106/15
So, 20/3 + 4/10 = 106/15
In mixed form: 71/15

MathStep (Works offline)

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