Add 5/40 and 40/14, Solve 5/40 + 2 12/14 as a fraction

Add 5/40 and 40/14

1^st number: 5/40, 2^nd number: 2 12/14

5/40 + 40/14 is 167/56.

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,
5/40 = 5 × 7/40 × 7 = 35/280
Likewise, for the 2nd fraction, since 14 × 20 = 280,
40/14 = 40 × 20/14 × 20 = 800/280
Add the two like fractions:
35/280 + 800/280 = 35 + 800/280 = 835/280
835/280 simplified gives 167/56
So, 5/40 + 40/14 = 167/56
In mixed form: 255/56

MathStep (Works offline)

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