Add 27/18 and 10/84, Solve 1 9/18 + 10/84 as a fraction

Add 27/18 and 10/84

1^st number: 1 9/18, 2^nd number: 10/84

27/18 + 10/84 is 34/21.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 84 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 18 × 14 = 252,
27/18 = 27 × 14/18 × 14 = 378/252
Likewise, for the 2nd fraction, since 84 × 3 = 252,
10/84 = 10 × 3/84 × 3 = 30/252
Add the two like fractions:
378/252 + 30/252 = 378 + 30/252 = 408/252
408/252 simplified gives 34/21
So, 27/18 + 10/84 = 34/21
In mixed form: 113/21

MathStep (Works offline)

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