Add 27/9 and 30/16, Solve 3 0/9 + 1 14/16 as a fraction

Add 27/9 and 30/16

1^st number: 3 0/9, 2^nd number: 1 14/16

27/9 + 30/16 is 39/8.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 16 is 144

Next, find the equivalent fraction of both fractional numbers with denominator 144
For the 1st fraction, since 9 × 16 = 144,
27/9 = 27 × 16/9 × 16 = 432/144
Likewise, for the 2nd fraction, since 16 × 9 = 144,
30/16 = 30 × 9/16 × 9 = 270/144
Add the two like fractions:
432/144 + 270/144 = 432 + 270/144 = 702/144
702/144 simplified gives 39/8
So, 27/9 + 30/16 = 39/8
In mixed form: 47/8

MathStep (Works offline)

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