Add 35/30 and 27/7, Solve 1 5/30 + 3 6/7 as a fraction

Add 35/30 and 27/7

1^st number: 1 5/30, 2^nd number: 3 6/7

35/30 + 27/7 is 211/42.

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 7 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 30 × 7 = 210,
35/30 = 35 × 7/30 × 7 = 245/210
Likewise, for the 2nd fraction, since 7 × 30 = 210,
27/7 = 27 × 30/7 × 30 = 810/210
Add the two like fractions:
245/210 + 810/210 = 245 + 810/210 = 1055/210
1055/210 simplified gives 211/42
So, 35/30 + 27/7 = 211/42
In mixed form: 51/42

MathStep (Works offline)

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