Answer:
[tex]n=\frac{25}{2}[/tex].
Step-by-step explanation:
1. Write the expression.
[tex]\frac{10}{8} =\frac{n}{10}[/tex]
2. Solve the equation for n.
[tex]\frac{10}{8} =\frac{n}{10}[/tex]
[tex]10*(\frac{10}{8}) =(\frac{n}{10})*10[/tex] ----> Multiply both sides by 10.
[tex]10*(\frac{10}{8}) =n[/tex]----> Simplify.
[tex]\frac{10*10}{8} =n[/tex]----> Solve the fraction product.
[tex]\frac{100}{8} =n[/tex]----> Simplify.
[tex]\frac{100/4}{8/4} =n[/tex]----> Simplify by dividing the numerator and denominator by the same number.
[tex]\frac{25}{2} =n[/tex]----> Simplify.
[tex]n=\frac{25}{2}[/tex]----> Reorganize.
.
3. Express your result.
[tex]n=\frac{25}{2}[/tex].
Note. Check the attched image to see the manual solution of the equation. We took the same steps I explained previously in the manual solution.
