Add 16/14 and 30/42, Solve 1 2/14 + 30/42 as a fraction

Add 16/14 and 30/42

1^st number: 1 2/14, 2^nd number: 30/42

16/14 + 30/42 is 13/7.

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

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 14 × 3 = 42,
16/14 = 16 × 3/14 × 3 = 48/42
Likewise, for the 2nd fraction, since 42 × 1 = 42,
30/42 = 30 × 1/42 × 1 = 30/42
Add the two like fractions:
48/42 + 30/42 = 48 + 30/42 = 78/42
78/42 simplified gives 13/7
So, 16/14 + 30/42 = 13/7
In mixed form: 16/7

MathStep (Works offline)

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