we have the equation
[tex]8\frac{1}{2}\colon\frac{1}{x}=51[/tex]
step 1
Convert mixed number to an improper fraction
so
8 1/2=8+1/2=17/2
substitute
[tex]\begin{gathered} \frac{17}{2}\colon\frac{1}{x}=51 \\ \text{Multiply in cvross left side} \\ \frac{17x}{2}=51 \end{gathered}[/tex]
Multiply by 2 both sides
17x=102
Divide by 17 both sides
x=102/17
1x=02/17=6
therefore
the answer is 6
