Add 27/2 and 45/27, Solve 13 1/2 + 1 18/27 as a fraction

Add 27/2 and 45/27

1^st number: 13 1/2, 2^nd number: 1 18/27

27/2 + 45/27 is 91/6.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 27 is 54

Next, find the equivalent fraction of both fractional numbers with denominator 54
For the 1st fraction, since 2 × 27 = 54,
27/2 = 27 × 27/2 × 27 = 729/54
Likewise, for the 2nd fraction, since 27 × 2 = 54,
45/27 = 45 × 2/27 × 2 = 90/54
Add the two like fractions:
729/54 + 90/54 = 729 + 90/54 = 819/54
819/54 simplified gives 91/6
So, 27/2 + 45/27 = 91/6
In mixed form: 151/6

MathStep (Works offline)

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