Could anyone help me on this math homework question?

Question

2r= 5s/2 - s/4 Solve for s 

Answer 1

2r=5s/2-s/4 

First step is to take LCM of 2 and 4.

LCM of 2 and 4 is 4

2nd step is to make a common denominator by multiplying 2 with both numerator and denominator of 5s/2.

After multiplication we got 

5s/2 =(5s*2)/(2*2 )= 10s/4

3rd step

2r=10s/4 - s/4

 

4th step is to take a LCM of the term 10s/4 - s/4 and simplify it.

(10s-s)/4 after simplifying we got 9s/4

5th step 

2r=9s/4

5th step, Now we need to multiply both sides of the equation by 4.

 

2r*4=(9s*4)/4 after simplification we got

8r=9s

6th step, Now we need to divide both sides of the equation by 9.

 

8r/9 =9s/9

After simplification we got  

8r/9=s that is s=8r/9 is the final answer.

 

 

Answer 2

2r= 5s/2 - s/4

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

8r=10s-s

8r = 9s

s= 8r/9.

Answer 3

Multiply both sides of the equation by 4 to clear fractions

 

8r = 10s - s 

 

8r = 9s

 

8/9 r = s