Add 10/40 and 40/14, Solve 10/40 + 2 12/14 as a fraction

Add 10/40 and 40/14

1^st number: 10/40, 2^nd number: 2 12/14

10/40 + 40/14 is 87/28.

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,
10/40 = 10 × 7/40 × 7 = 70/280
Likewise, for the 2nd fraction, since 14 × 20 = 280,
40/14 = 40 × 20/14 × 20 = 800/280
Add the two like fractions:
70/280 + 800/280 = 70 + 800/280 = 870/280
870/280 simplified gives 87/28
So, 10/40 + 40/14 = 87/28
In mixed form: 33/28

MathStep (Works offline)

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