Add 14/12 and 40/75, Solve 1 2/12 + 40/75 as a fraction

Add 14/12 and 40/75

1^st number: 1 2/12, 2^nd number: 40/75

14/12 + 40/75 is 17/10.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 75 is 300

Next, find the equivalent fraction of both fractional numbers with denominator 300
For the 1st fraction, since 12 × 25 = 300,
14/12 = 14 × 25/12 × 25 = 350/300
Likewise, for the 2nd fraction, since 75 × 4 = 300,
40/75 = 40 × 4/75 × 4 = 160/300
Add the two like fractions:
350/300 + 160/300 = 350 + 160/300 = 510/300
510/300 simplified gives 17/10
So, 14/12 + 40/75 = 17/10
In mixed form: 17/10

MathStep (Works offline)

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