Add 27/14 and 10/30, Solve 1 13/14 + 10/30 as a fraction

Add 27/14 and 10/30

1^st number: 1 13/14, 2^nd number: 10/30

27/14 + 10/30 is 95/42.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 30 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 14 × 15 = 210,
27/14 = 27 × 15/14 × 15 = 405/210
Likewise, for the 2nd fraction, since 30 × 7 = 210,
10/30 = 10 × 7/30 × 7 = 70/210
Add the two like fractions:
405/210 + 70/210 = 405 + 70/210 = 475/210
475/210 simplified gives 95/42
So, 27/14 + 10/30 = 95/42
In mixed form: 211/42

MathStep (Works offline)

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