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
![(5x)/(5)=((1)/(4) )/(5)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ph6qgng7l8bvfnlrpkaj0j0mhavdx0mm99.png)
x=
![(1)/(4*5)=(1)/(20)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/inext4yqckbkhx47knatea3g1ayrnwkk7a.png)
Therefore, required number is 1/20.
So, second option 1/20 is correct option.