Add 6/14 and 35/3, Solve 6/14 + 11 2/3 as a fraction

Add 6/14 and 35/3

1^st number: 6/14, 2^nd number: 11 2/3

6/14 + 35/3 is 254/21.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 3 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 14 × 3 = 42,
6/14 = 6 × 3/14 × 3 = 18/42
Likewise, for the 2nd fraction, since 3 × 14 = 42,
35/3 = 35 × 14/3 × 14 = 490/42
Add the two like fractions:
18/42 + 490/42 = 18 + 490/42 = 508/42
508/42 simplified gives 254/21
So, 6/14 + 35/3 = 254/21
In mixed form: 122/21

MathStep (Works offline)

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