4q/18(q+r)
=4/18*q/(q+r)
First step, simplify 4/18 by dividing both numerator and denominator with 2
(4÷2)/(18÷2)
=2/9
Then, rewrite it
2/9*q/(q+r)
=2q/9(q+r)
Lastly, use distributive property for 9(q+r).
9*q+9*r
=9q+9r, so
4q/18(q+r) in supplied form is 2q/9q+9r. Hope it help!