3x/5/

x/4+x/2

do you mean ???

3x/5
--------
x/4 + x/2

????
if so then multiply top and bottom by 20/x

(3x/5)(20/x)
-------------------------
(x/4)(20/x) + (x/2)(20/x)

12
-------
5+10

=12/15 = 4/5

Thank you

To simplify the expression (3x/5) divided by (x/4 + x/2), we can follow these steps:

Step 1: Simplify the expression inside the division (the denominator).
x/4 + x/2 can be rewritten with a common denominator of 4:
(x/4) + (2x/4) = (3x/4)

Step 2: Rewrite the expression using multiplication instead of division.
The division can be rewritten as multiplying by the reciprocal of the denominator:
(3x/5) * (4/3x) = (3x/5) * (4/3x)

Step 3: Cancel out any common factors between the numerator and the denominator.
In this case, we can cancel out the 3x from the numerator and denominator:
(3x/5) * (4/3x) = 4/5

Therefore, the simplified expression is 4/5.