Add 16/5 and 18/30, Solve 3 1/5 + 18/30 as a fraction

Add 16/5 and 18/30

1^st number: 3 1/5, 2^nd number: 18/30

16/5 + 18/30 is 19/5.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 30 is 30

Next, find the equivalent fraction of both fractional numbers with denominator 30
For the 1st fraction, since 5 × 6 = 30,
16/5 = 16 × 6/5 × 6 = 96/30
Likewise, for the 2nd fraction, since 30 × 1 = 30,
18/30 = 18 × 1/30 × 1 = 18/30
Add the two like fractions:
96/30 + 18/30 = 96 + 18/30 = 114/30
114/30 simplified gives 19/5
So, 16/5 + 18/30 = 19/5
In mixed form: 34/5

MathStep (Works offline)

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