Add 6/40 and 27/14, Solve 6/40 + 1 13/14 as a fraction

Add 6/40 and 27/14

1^st number: 6/40, 2^nd number: 1 13/14

6/40 + 27/14 is 291/140.

Find the least common denominator or LCM of the two denominators:
LCM of 40 and 14 is 280

Next, find the equivalent fraction of both fractional numbers with denominator 280
For the 1st fraction, since 40 × 7 = 280,
6/40 = 6 × 7/40 × 7 = 42/280
Likewise, for the 2nd fraction, since 14 × 20 = 280,
27/14 = 27 × 20/14 × 20 = 540/280
Add the two like fractions:
42/280 + 540/280 = 42 + 540/280 = 582/280
582/280 simplified gives 291/140
So, 6/40 + 27/14 = 291/140
In mixed form: 211/140

MathStep (Works offline)

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