how do you solve this : 2/2x + 3/2x divided by 1/x+1/4x?

2/(2x) + 3/(2x) =(3+2)/(2x) = 5/(2x) --------- (1)

Taking LCM
1/x + 1/(4x) = (4+1)/(4x) = 5/4x ------------------ (2)

Divide 1 & 2

=5/(2x) / 5/(4x)
=(5*(4x))/((2x)*5)
=2

(2/2x + 3/2x) ÷ (1/x + 1/4x)
(2/2x + 3/2x) / (1/x + 1/4x)
Multiply by 4x every term in both numerator and denominator
= 4x(2/2x + 3/2x) / (1/x + 1/4x)4x
= (4 + 6) / (4 + 1)
= 10 / 5 = 2

2/2x+3/2x
--------------
4/x+1/4x

= 5/2x
--------
5/4x

= 5 4x
---- x ----
2x 5

= 2 answer

2/2x+3/2x
-------------
1/x+1/4x

2+3/2x
---------
4+1/4x

5/2x
--------
5/4x

5 x 4x
--- ----
2x x 5

2

(2/2x + 3/2x)/(1/x + 1/4x)
= (5/2x)/(4/4x + 1/4x)
= (5/2x)/(5/4x)
= (5/2x)(4x/5)
= 20x/10x
= 2

you have to solve for X

5 / (2x)
------------------------
4 / (4x) + 1 / (4x)

5 / (2x)
----------------------
5 / (4x)

5 (4x)
-------------
5 (2x)

2