Basic Math Examples

$- 5 = \frac{- a}{36}$

Step 1

Rewrite the equation as $\frac{- a}{36} = - 5$ .

$\frac{- a}{36} = - 5$

Step 2

Multiply both sides of the equation by $\frac{36}{- 1}$ .

$\frac{36}{- 1} \cdot \frac{- a}{36} = \frac{36}{- 1} \cdot - 5$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $\frac{36}{- 1} \cdot \frac{- a}{36}$ .

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Step 3.1.1.1

Cancel the common factor of $36$ .

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Step 3.1.1.1.1

Cancel the common factor.

$\frac{36}{- 1} \cdot \frac{- a}{36} = \frac{36}{- 1} \cdot - 5$

Step 3.1.1.1.2

Rewrite the expression.

$\frac{1}{- 1} (- a) = \frac{36}{- 1} \cdot - 5$

Step 3.1.1.2

Combine $\frac{1}{- 1}$ and $a$ .

$- \frac{a}{- 1} = \frac{36}{- 1} \cdot - 5$

Step 3.1.1.3

Simplify the expression.

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Step 3.1.1.3.1

Move the negative one from the denominator of $\frac{a}{- 1}$ .

$- (- 1 \cdot a) = \frac{36}{- 1} \cdot - 5$

Step 3.1.1.3.2

Rewrite $- 1 \cdot a$ as $- a$ .

$- - a = \frac{36}{- 1} \cdot - 5$

Step 3.1.1.4

Multiply $- - a$ .

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Step 3.1.1.4.1

Multiply $- 1$ by $- 1$ .

$1 a = \frac{36}{- 1} \cdot - 5$

Step 3.1.1.4.2

Multiply $a$ by $1$ .

$a = \frac{36}{- 1} \cdot - 5$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $\frac{36}{- 1} \cdot - 5$ .

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Step 3.2.1.1

Divide $36$ by $- 1$ .

$a = - 36 \cdot - 5$

Step 3.2.1.2

Multiply $- 36$ by $- 5$ .

$a = 180$