Solve for k 20/8=(4k)/32

$\frac{20}{8} = \frac{4 k}{32}$

Rewrite the equation as $\frac{4 k}{32} = \frac{20}{8}$ .

$\frac{4 k}{32} = \frac{20}{8}$

Cancel the common factor of $4$ and $32$ .

Factor $4$ out of $4 k$ .

$\frac{4 (k)}{32} = \frac{20}{8}$

Cancel the common factors.

Factor $4$ out of $32$ .

$\frac{4 k}{4 \cdot 8} = \frac{20}{8}$

Cancel the common factor.

$\frac{4 k}{4 \cdot 8} = \frac{20}{8}$

Rewrite the expression.

$\frac{k}{8} = \frac{20}{8}$

$\frac{k}{8} = \frac{20}{8}$

$\frac{k}{8} = \frac{20}{8}$

Multiply both sides by $8$ .

$\frac{k}{8} \cdot 8 = \frac{20}{8} \cdot 8$

Simplify.

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{k}{8} \cdot 8 = \frac{20}{8} \cdot 8$

Rewrite the expression.

$k = \frac{20}{8} \cdot 8$

$k = \frac{20}{8} \cdot 8$

$k = \frac{20}{8} \cdot 8$

Simplify the right side.

Cancel the common factor of $8$ .

Cancel the common factor.

$k = \frac{20}{8} \cdot 8$

Rewrite the expression.

$k = 20$

$k = 20$

$k = 20$

$k = 20$

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