Add 30/14 and 1/3, Solve 2 2/14 + 1/3 as a fraction

Add 30/14 and 1/3

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

30/14 + 1/3 is 52/21.

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,
30/14 = 30 × 3/14 × 3 = 90/42
Likewise, for the 2nd fraction, since 3 × 14 = 42,
1/3 = 1 × 14/3 × 14 = 14/42
Add the two like fractions:
90/42 + 14/42 = 90 + 14/42 = 104/42
104/42 simplified gives 52/21
So, 30/14 + 1/3 = 52/21
In mixed form: 210/21

MathStep (Works offline)

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