Algebra Examples

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

Step 1

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

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

Step 2

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

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Step 2.1

Factor $4$ out of $4 k$ .

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $32$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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

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

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

Step 3

Multiply both sides by $8$ .

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

Step 4

Simplify.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $8$ .

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Step 4.1.1.1

Cancel the common factor.

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

Step 4.1.1.2

Rewrite the expression.

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

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

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

Step 4.2

Simplify the right side.

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Step 4.2.1

Cancel the common factor of $8$ .

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Step 4.2.1.1

Cancel the common factor.

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

Step 4.2.1.2

Rewrite the expression.

$k = 20$

$k = 20$

$k = 20$

$k = 20$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$