Add 35/16 and 1/75, Solve 2 3/16 + 1/75 as a fraction

Add 35/16 and 1/75

1^st number: 2 3/16, 2^nd number: 1/75

35/16 + 1/75 is 2641/1200.

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,
35/16 = 35 × 75/16 × 75 = 2625/1200
Likewise, for the 2nd fraction, since 75 × 16 = 1200,
1/75 = 1 × 16/75 × 16 = 16/1200
Add the two like fractions:
2625/1200 + 16/1200 = 2625 + 16/1200 = 2641/1200
So, 35/16 + 1/75 = 2641/1200
In mixed form: 2241/1200

MathStep (Works offline)

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