Hi, please help. Thank you!

Question

Find the reciprocal of 3/x+2/5

a. 2x+15/5x

b. 5x/6

c. 5x/2x+15

d. x

Answer 1

Answer 2

Hi Anna V

Your expression adds two fractions with unlike denominators

(3/x) + (2/5)

First get a common denominator by multiplying

5(3) + x(2)/5x = (15 + 2x)/5x

Now just invert (flip) It over to get the reciprocal

5x/(15 + 2x)

Hope this helps