Add 3/75 and 75/7, Solve 3/75 + 10 5/7 as a fraction

Add 3/75 and 75/7

1^st number: 3/75, 2^nd number: 10 5/7

3/75 + 75/7 is 1882/175.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 7 is 525

Next, find the equivalent fraction of both fractional numbers with denominator 525
For the 1st fraction, since 75 × 7 = 525,
3/75 = 3 × 7/75 × 7 = 21/525
Likewise, for the 2nd fraction, since 7 × 75 = 525,
75/7 = 75 × 75/7 × 75 = 5625/525
Add the two like fractions:
21/525 + 5625/525 = 21 + 5625/525 = 5646/525
5646/525 simplified gives 1882/175
So, 3/75 + 75/7 = 1882/175
In mixed form: 10132/175

MathStep (Works offline)

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