Please divide and simplify

3z-9/25 divided by z-3/10
please help, thanks so much!

(3(x-3)/25))/(x-3)/10
(3/25)/(1/10)
3/25*10
30/25
6/5

3z-9/25 divided by z-3/10

step 1: THAT WORD... DIVIDED... LOOKS SO PRETTY BUT I WANT TO WORK WITH MULTIPLICATION SO CHANGE DIVISION TO MULTIPLICATION :P

(3z-9/25) * (10/z-3) haha the second bracket you notice that the numerator and denominator inverted when / changed to *

Step 2: WHEN YOU HAVE A MINUS OR PLUS YOU MUST FIND LOWEST COMMON DENOMINATOR and the first bracket and second bracket changes to:

[(75z-9)/25] * [(10z-3)/10)]

Step 3: MULTIPLY NUMERATOR BY NUMERATOR AND MULTIPLY DENOMINATOR BY DENOMINATOR

(75z-9)(10z-3)/250

(3z - 9)/25 divided by (z - 3)/ 10 when dividing by fractions multiply by the reciprocal of the divisor

(3z - 9) / 25 * 10/ (z - 3) cancel out common factors

3/5 * 2/1 = 3/10

Question is incorrect in given format and SHOULD be shown as :-
(3z - 9) / 25 divided by (z - 3) / 10 :-

3 (z - 3 ) (10)
--------------------
25 (z - 3)

6
----
5