Add 4/3 and 35/14, Solve 1 1/3 + 2 7/14 as a fraction

Add 4/3 and 35/14

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

4/3 + 35/14 is 23/6.

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

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 3 × 14 = 42,
4/3 = 4 × 14/3 × 14 = 56/42
Likewise, for the 2nd fraction, since 14 × 3 = 42,
35/14 = 35 × 3/14 × 3 = 105/42
Add the two like fractions:
56/42 + 105/42 = 56 + 105/42 = 161/42
161/42 simplified gives 23/6
So, 4/3 + 35/14 = 23/6
In mixed form: 35/6

MathStep (Works offline)

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