Add 30/84 and 8/3, Solve 30/84 + 2 2/3 as a fraction

Add 30/84 and 8/3

1^st number: 30/84, 2^nd number: 2 2/3

30/84 + 8/3 is 127/42.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 3 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 84 × 1 = 84,
30/84 = 30 × 1/84 × 1 = 30/84
Likewise, for the 2nd fraction, since 3 × 28 = 84,
8/3 = 8 × 28/3 × 28 = 224/84
Add the two like fractions:
30/84 + 224/84 = 30 + 224/84 = 254/84
254/84 simplified gives 127/42
So, 30/84 + 8/3 = 127/42
In mixed form: 31/42

MathStep (Works offline)

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