Add 3/5 and 6/7
3/5 + 6/7 is 51/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 7 is 35
Next, find the equivalent fraction of both fractional numbers with denominator 35 - For the 1st fraction, since 5 × 7 = 35,
3/5 = 3 × 7/5 × 7 = 21/35 - Likewise, for the 2nd fraction, since 7 × 5 = 35,
6/7 = 6 × 5/7 × 5 = 30/35 - Add the two like fractions:
21/35 + 30/35 = 21 + 30/35 = 51/35 - So, 3/5 + 6/7 = 51/35
In mixed form: 116/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/5+6/7 3/5+12/7 3/10+6/7 3/5+6/14 9/5+6/7 3/5+18/7 3/15+6/7 3/5+6/21 15/5+6/7 3/5+30/7 3/25+6/7 3/5+6/35 21/5+6/7 3/5+42/7 3/35+6/7 3/5+6/49