Add 27/30 and 36/10, Solve 27/30 + 3 6/10 as a fraction

Add 27/30 and 36/10

1^st number: 27/30, 2^nd number: 3 6/10

27/30 + 36/10 is 9/2.

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 10 is 30

Next, find the equivalent fraction of both fractional numbers with denominator 30
For the 1st fraction, since 30 × 1 = 30,
27/30 = 27 × 1/30 × 1 = 27/30
Likewise, for the 2nd fraction, since 10 × 3 = 30,
36/10 = 36 × 3/10 × 3 = 108/30
Add the two like fractions:
27/30 + 108/30 = 27 + 108/30 = 135/30
135/30 simplified gives 9/2
So, 27/30 + 36/10 = 9/2
In mixed form: 41/2

MathStep (Works offline)

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