Add 8/75 and 45/14, Solve 8/75 + 3 3/14 as a fraction

Add 8/75 and 45/14

1^st number: 8/75, 2^nd number: 3 3/14

8/75 + 45/14 is 3487/1050.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 14 is 1050

Next, find the equivalent fraction of both fractional numbers with denominator 1050
For the 1st fraction, since 75 × 14 = 1050,
8/75 = 8 × 14/75 × 14 = 112/1050
Likewise, for the 2nd fraction, since 14 × 75 = 1050,
45/14 = 45 × 75/14 × 75 = 3375/1050
Add the two like fractions:
112/1050 + 3375/1050 = 112 + 3375/1050 = 3487/1050
So, 8/75 + 45/14 = 3487/1050
In mixed form: 3337/1050

MathStep (Works offline)

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