Add 6/27 and 75/35, Solve 6/27 + 2 5/35 as a fraction

Add 6/27 and 75/35

1^st number: 6/27, 2^nd number: 2 5/35

6/27 + 75/35 is 149/63.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 35 is 945

Next, find the equivalent fraction of both fractional numbers with denominator 945
For the 1st fraction, since 27 × 35 = 945,
6/27 = 6 × 35/27 × 35 = 210/945
Likewise, for the 2nd fraction, since 35 × 27 = 945,
75/35 = 75 × 27/35 × 27 = 2025/945
Add the two like fractions:
210/945 + 2025/945 = 210 + 2025/945 = 2235/945
2235/945 simplified gives 149/63
So, 6/27 + 75/35 = 149/63
In mixed form: 223/63

MathStep (Works offline)

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