Add 35/14 and 6/3, Solve 2 7/14 + 2 0/3 as a fraction

Add 35/14 and 6/3

1^st number: 2 7/14, 2^nd number: 2 0/3

35/14 + 6/3 is 9/2.

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,
35/14 = 35 × 3/14 × 3 = 105/42
Likewise, for the 2nd fraction, since 3 × 14 = 42,
6/3 = 6 × 14/3 × 14 = 84/42
Add the two like fractions:
105/42 + 84/42 = 105 + 84/42 = 189/42
189/42 simplified gives 9/2
So, 35/14 + 6/3 = 9/2
In mixed form: 41/2

MathStep (Works offline)

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