Add 27/9 and 30/8, Solve 3 0/9 + 3 6/8 as a fraction

Add 27/9 and 30/8

1^st number: 3 0/9, 2^nd number: 3 6/8

27/9 + 30/8 is 27/4.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 8 is 72

Next, find the equivalent fraction of both fractional numbers with denominator 72
For the 1st fraction, since 9 × 8 = 72,
27/9 = 27 × 8/9 × 8 = 216/72
Likewise, for the 2nd fraction, since 8 × 9 = 72,
30/8 = 30 × 9/8 × 9 = 270/72
Add the two like fractions:
216/72 + 270/72 = 216 + 270/72 = 486/72
486/72 simplified gives 27/4
So, 27/9 + 30/8 = 27/4
In mixed form: 63/4

MathStep (Works offline)

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