Add 30/54 and 8/3, Solve 30/54 + 2 2/3 as a fraction

Add 30/54 and 8/3

1^st number: 30/54, 2^nd number: 2 2/3

30/54 + 8/3 is 29/9.

Find the least common denominator or LCM of the two denominators:
LCM of 54 and 3 is 54

Next, find the equivalent fraction of both fractional numbers with denominator 54
For the 1st fraction, since 54 × 1 = 54,
30/54 = 30 × 1/54 × 1 = 30/54
Likewise, for the 2nd fraction, since 3 × 18 = 54,
8/3 = 8 × 18/3 × 18 = 144/54
Add the two like fractions:
30/54 + 144/54 = 30 + 144/54 = 174/54
174/54 simplified gives 29/9
So, 30/54 + 8/3 = 29/9
In mixed form: 32/9

MathStep (Works offline)

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