Question

2r=5s/2-s/4 solve for s

Answer 1

Multiply the whole equation by 4 to cancel out the fractions.
(2r = 5s/2 - s/4)*4
8r = 10s - s
8r = 9s
8r/9 = s
s = 8r/9

Answer 2

`s=(8r)/(9)`

Explanation:

The given equation is

`2r=(5s)/(2)-(s)/(4)`

We need to solve this equation for s.

Simplify the right side of the equation.

Taking LCD on right side of the equation we get

`2r=(2(5s)-s)/(4)`

`2r=(10s-s)/(4)`

`2r=(9s)/(4)`

Multiply both sides by 4.

`2r* 4=(9s)/(4)* 4`

`8r=9s`

Divide both sides by 9.

`(8r)/(9)=s`

Interchange the sides.

`s=(8r)/(9)`

Therefore, the value of s is
`s=(8r)/(9)`.