Add 75/16 and 14/75, Solve 4 11/16 + 14/75 as a fraction

Add 75/16 and 14/75

1^st number: 4 11/16, 2^nd number: 14/75

75/16 + 14/75 is 5849/1200.

Find the least common denominator or LCM of the two denominators:
LCM of 16 and 75 is 1200

Next, find the equivalent fraction of both fractional numbers with denominator 1200
For the 1st fraction, since 16 × 75 = 1200,
75/16 = 75 × 75/16 × 75 = 5625/1200
Likewise, for the 2nd fraction, since 75 × 16 = 1200,
14/75 = 14 × 16/75 × 16 = 224/1200
Add the two like fractions:
5625/1200 + 224/1200 = 5625 + 224/1200 = 5849/1200
So, 75/16 + 14/75 = 5849/1200
In mixed form: 41049/1200

MathStep (Works offline)

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