Add 27/18 and 8/14, Solve 1 9/18 + 8/14 as a fraction

Add 27/18 and 8/14

1^st number: 1 9/18, 2^nd number: 8/14

27/18 + 8/14 is 29/14.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 14 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 18 × 7 = 126,
27/18 = 27 × 7/18 × 7 = 189/126
Likewise, for the 2nd fraction, since 14 × 9 = 126,
8/14 = 8 × 9/14 × 9 = 72/126
Add the two like fractions:
189/126 + 72/126 = 189 + 72/126 = 261/126
261/126 simplified gives 29/14
So, 27/18 + 8/14 = 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