Basic Math Examples

$\frac{- 2}{5} s = - 8$

Step 1

Multiply both sides of the equation by $\frac{5}{- 2}$ .

$\frac{5}{- 2} (\frac{- 2}{5} s) = \frac{5}{- 2} \cdot - 8$

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 $\frac{5}{- 2} (\frac{- 2}{5} s)$ .

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Step 2.1.1.1

Simplify the expression.

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Step 2.1.1.1.1

Move the negative in front of the fraction.

$- \frac{5}{2} (\frac{- 2}{5} s) = \frac{5}{- 2} \cdot - 8$

Step 2.1.1.1.2

Move the negative in front of the fraction.

$- \frac{5}{2} (- \frac{2}{5} s) = \frac{5}{- 2} \cdot - 8$

Step 2.1.1.2

Combine $s$ and $\frac{2}{5}$ .

$- \frac{5}{2} (- \frac{s \cdot 2}{5}) = \frac{5}{- 2} \cdot - 8$

Step 2.1.1.3

Cancel the common factor of $5$ .

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Step 2.1.1.3.1

Move the leading negative in $- \frac{5}{2}$ into the numerator.

$\frac{- 5}{2} (- \frac{s \cdot 2}{5}) = \frac{5}{- 2} \cdot - 8$

Step 2.1.1.3.2

Move the leading negative in $- \frac{s \cdot 2}{5}$ into the numerator.

$\frac{- 5}{2} \cdot \frac{- s \cdot 2}{5} = \frac{5}{- 2} \cdot - 8$

Step 2.1.1.3.3

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{2} \cdot \frac{- s \cdot 2}{5} = \frac{5}{- 2} \cdot - 8$

Step 2.1.1.3.4

Cancel the common factor.

$\frac{5 \cdot - 1}{2} \cdot \frac{- s \cdot 2}{5} = \frac{5}{- 2} \cdot - 8$

Step 2.1.1.3.5

Rewrite the expression.

$\frac{- 1}{2} (- s \cdot 2) = \frac{5}{- 2} \cdot - 8$

Step 2.1.1.4

Cancel the common factor of $2$ .

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Step 2.1.1.4.1

Factor $2$ out of $- s \cdot 2$ .

$\frac{- 1}{2} (2 \cdot (- s)) = \frac{5}{- 2} \cdot - 8$

Step 2.1.1.4.2

Cancel the common factor.

$\frac{- 1}{2} (2 \cdot (- s)) = \frac{5}{- 2} \cdot - 8$

Step 2.1.1.4.3

Rewrite the expression.

$- - s = \frac{5}{- 2} \cdot - 8$

Step 2.1.1.5

Multiply.

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Step 2.1.1.5.1

Multiply $- 1$ by $- 1$ .

$1 s = \frac{5}{- 2} \cdot - 8$

Step 2.1.1.5.2

Multiply $s$ by $1$ .

$s = \frac{5}{- 2} \cdot - 8$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{5}{- 2} \cdot - 8$ .

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Step 2.2.1.1

Cancel the common factor of $2$ .

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Step 2.2.1.1.1

Factor $2$ out of $- 2$ .

$s = \frac{5}{2 (- 1)} \cdot - 8$

Step 2.2.1.1.2

Factor $2$ out of $- 8$ .

$s = \frac{5}{2 \cdot - 1} \cdot (2 \cdot - 4)$

Step 2.2.1.1.3

Cancel the common factor.

$s = \frac{5}{2 \cdot - 1} \cdot (2 \cdot - 4)$

Step 2.2.1.1.4

Rewrite the expression.

$s = \frac{5}{- 1} \cdot - 4$

Step 2.2.1.2

Combine $\frac{5}{- 1}$ and $- 4$ .

$s = \frac{5 \cdot - 4}{- 1}$

Step 2.2.1.3

Simplify the expression.

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Step 2.2.1.3.1

Multiply $5$ by $- 4$ .

$s = \frac{- 20}{- 1}$

Step 2.2.1.3.2

Divide $- 20$ by $- 1$ .

$s = 20$