Basic Math Examples

$\frac{4}{5} k = - 8$

Step 1

Multiply both sides of the equation by $\frac{5}{4}$ .

$\frac{5}{4} (\frac{4}{5} k) = \frac{5}{4} \cdot - 8$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{5}{4} (\frac{4}{5} k)$ .

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Step 2.1.1.1

Combine $\frac{4}{5}$ and $k$ .

$\frac{5}{4} \cdot \frac{4 k}{5} = \frac{5}{4} \cdot - 8$

Step 2.1.1.2

Cancel the common factor of $5$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{5}{4} \cdot \frac{4 k}{5} = \frac{5}{4} \cdot - 8$

Step 2.1.1.2.2

Rewrite the expression.

$\frac{1}{4} (4 k) = \frac{5}{4} \cdot - 8$

Step 2.1.1.3

Cancel the common factor of $4$ .

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Step 2.1.1.3.1

Factor $4$ out of $4 k$ .

$\frac{1}{4} (4 (k)) = \frac{5}{4} \cdot - 8$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{1}{4} (4 k) = \frac{5}{4} \cdot - 8$

Step 2.1.1.3.3

Rewrite the expression.

$k = \frac{5}{4} \cdot - 8$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{5}{4} \cdot - 8$ .

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Step 2.2.1.1

Cancel the common factor of $4$ .

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Step 2.2.1.1.1

Factor $4$ out of $- 8$ .

$k = \frac{5}{4} \cdot (4 (- 2))$

Step 2.2.1.1.2

Cancel the common factor.

$k = \frac{5}{4} \cdot (4 \cdot - 2)$

Step 2.2.1.1.3

Rewrite the expression.

$k = 5 \cdot - 2$

Step 2.2.1.2

Multiply $5$ by $- 2$ .

$k = - 10$