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

Answer:

$s=\frac{8r}{9}$

Step-by-step explanation:

The given equation is

$2r=\frac{5s}{2}-\frac{s}{4}$

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

$2r=\frac{2(5s)-s}{4}$

$2r=\frac{10s-s}{4}$

$2r=\frac{9s}{4}$

Multiply both sides by 4.

$2r\times 4=\frac{9s}{4}\times 4$

$8r=9s$

Divide both sides by 9.

$\frac{8r}{9}=s$

Interchange the sides.

$s=\frac{8r}{9}$

Therefore, the value of s is $s=\frac{8r}{9}$.