Solve for n 5/16=n/80

$\frac{5}{16} = \frac{n}{80}$

Step 1

Rewrite the equation as $\frac{n}{80} = \frac{5}{16}$ .

$\frac{n}{80} = \frac{5}{16}$

Step 2

Multiply both sides of the equation by $80$ .

$80 \frac{n}{80} = 80 (\frac{5}{16})$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $80$ .

Cancel the common factor.

$80 \frac{n}{80} = 80 (\frac{5}{16})$

Rewrite the expression.

$n = 80 (\frac{5}{16})$

Simplify the right side.

Simplify $80 (\frac{5}{16})$ .

Cancel the common factor of $16$ .

Factor $16$ out of $80$ .

$n = 16 (5) \frac{5}{16}$

Cancel the common factor.

$n = 16 \cdot 5 \frac{5}{16}$

Rewrite the expression.

$n = 5 \cdot 5$

Multiply $5$ by $5$ .

$n = 25$