Add 27/7 and 25/30, Solve 3 6/7 + 25/30 as a fraction

Add 27/7 and 25/30

1^st number: 3 6/7, 2^nd number: 25/30

27/7 + 25/30 is 197/42.

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

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 7 × 30 = 210,
27/7 = 27 × 30/7 × 30 = 810/210
Likewise, for the 2nd fraction, since 30 × 7 = 210,
25/30 = 25 × 7/30 × 7 = 175/210
Add the two like fractions:
810/210 + 175/210 = 810 + 175/210 = 985/210
985/210 simplified gives 197/42
So, 27/7 + 25/30 = 197/42
In mixed form: 429/42

MathStep (Works offline)

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