Add 5/75 and 40/7, Solve 5/75 + 5 5/7 as a fraction

Add 5/75 and 40/7

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

5/75 + 40/7 is 607/105.

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,
5/75 = 5 × 7/75 × 7 = 35/525
Likewise, for the 2nd fraction, since 7 × 75 = 525,
40/7 = 40 × 75/7 × 75 = 3000/525
Add the two like fractions:
35/525 + 3000/525 = 35 + 3000/525 = 3035/525
3035/525 simplified gives 607/105
So, 5/75 + 40/7 = 607/105
In mixed form: 582/105

MathStep (Works offline)

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