Add 30/35 and 27/6, Solve 30/35 + 4 3/6 as a fraction

Add 30/35 and 27/6

1^st number: 30/35, 2^nd number: 4 3/6

30/35 + 27/6 is 75/14.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 6 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 35 × 6 = 210,
30/35 = 30 × 6/35 × 6 = 180/210
Likewise, for the 2nd fraction, since 6 × 35 = 210,
27/6 = 27 × 35/6 × 35 = 945/210
Add the two like fractions:
180/210 + 945/210 = 180 + 945/210 = 1125/210
1125/210 simplified gives 75/14
So, 30/35 + 27/6 = 75/14
In mixed form: 55/14

MathStep (Works offline)

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