Add 6/10 and 40/7, Solve 6/10 + 5 5/7 as a fraction

Add 6/10 and 40/7

1^st number: 6/10, 2^nd number: 5 5/7

6/10 + 40/7 is 221/35.

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 7 is 70

Next, find the equivalent fraction of both fractional numbers with denominator 70
For the 1st fraction, since 10 × 7 = 70,
6/10 = 6 × 7/10 × 7 = 42/70
Likewise, for the 2nd fraction, since 7 × 10 = 70,
40/7 = 40 × 10/7 × 10 = 400/70
Add the two like fractions:
42/70 + 400/70 = 42 + 400/70 = 442/70
442/70 simplified gives 221/35
So, 6/10 + 40/7 = 221/35
In mixed form: 611/35

MathStep (Works offline)

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