We are given 5 and x need to multiply ( the product represents multiplication operation).
"The product of 5 and a number x is 1/4" statement can be expressed as in equation form.
5 * x = 1/4 .
On multiplying 5 and x, we get 5x.
Therefore, 5 * x = 1/4 can be written as
5x =1/4.
We are solving it for unknow number x.
So, we need to isolate it for x on left side.
We need to get rid 5 from left side in order to isolate it for x.
Dividing both sides by 5, we get
[tex]\frac{5x}{5}=\frac{\frac{1}{4} }{5}[/tex]
x=[tex]\frac{1}{4*5}=\frac{1}{20}[/tex]
Therefore, required number is 1/20.
So, second option 1/20 is correct option.