Add 10/81 and 75/7, Solve 10/81 + 10 5/7 as a fraction

Add 10/81 and 75/7

1^st number: 10/81, 2^nd number: 10 5/7

10/81 + 75/7 is 6145/567.

Find the least common denominator or LCM of the two denominators:
LCM of 81 and 7 is 567

Next, find the equivalent fraction of both fractional numbers with denominator 567
For the 1st fraction, since 81 × 7 = 567,
10/81 = 10 × 7/81 × 7 = 70/567
Likewise, for the 2nd fraction, since 7 × 81 = 567,
75/7 = 75 × 81/7 × 81 = 6075/567
Add the two like fractions:
70/567 + 6075/567 = 70 + 6075/567 = 6145/567
So, 10/81 + 75/7 = 6145/567
In mixed form: 10475/567

MathStep (Works offline)

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