Add 30/96 and 27/8, Solve 30/96 + 3 3/8 as a fraction

Add 30/96 and 27/8

1^st number: 30/96, 2^nd number: 3 3/8

30/96 + 27/8 is 59/16.

Find the least common denominator or LCM of the two denominators:
LCM of 96 and 8 is 96

Next, find the equivalent fraction of both fractional numbers with denominator 96
For the 1st fraction, since 96 × 1 = 96,
30/96 = 30 × 1/96 × 1 = 30/96
Likewise, for the 2nd fraction, since 8 × 12 = 96,
27/8 = 27 × 12/8 × 12 = 324/96
Add the two like fractions:
30/96 + 324/96 = 30 + 324/96 = 354/96
354/96 simplified gives 59/16
So, 30/96 + 27/8 = 59/16
In mixed form: 311/16

MathStep (Works offline)

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