Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Because [tex]\frac{3}{5}[/tex] is being multiplied by S, we can divide [tex]\frac{3}{5}[/tex] from both sides of the equation. This will give us:
[tex]\frac{1}{4}[/tex]÷[tex]\frac{3}{5}[/tex]
But, that looks a bit hectic. Instead of dividing, you can multiply by the reciprocal (which is essentially how to divide fractions). So, instead of [tex]\frac{1}{4}[/tex]÷[tex]\frac{3}{5}[/tex], you get:
[tex]\frac{1}{4}[/tex]×[tex]\frac{5}{3}[/tex]
When multiplying fractions, remember you can just multiply straight across-- numerator x numerator, then denominator x denominator.
By doing that, you get the fraction [tex]\frac{5}{12}[/tex]
[tex]\frac{5}{12}[/tex] cannot be simplified any more, so S=[tex]\frac{5}{12}[/tex] is your answer :)
I hope this helps
