Add 27/14 and 6/42, Solve 1 13/14 + 6/42 as a fraction

Add 27/14 and 6/42

1^st number: 1 13/14, 2^nd number: 6/42

27/14 + 6/42 is 29/14.

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,
27/14 = 27 × 3/14 × 3 = 81/42
Likewise, for the 2nd fraction, since 42 × 1 = 42,
6/42 = 6 × 1/42 × 1 = 6/42
Add the two like fractions:
81/42 + 6/42 = 81 + 6/42 = 87/42
87/42 simplified gives 29/14
So, 27/14 + 6/42 = 29/14
In mixed form: 21/14

MathStep (Works offline)

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