Basic Math Examples

$4 = \frac{a}{- 7}$

Step 1

Rewrite the equation as $\frac{a}{- 7} = 4$ .

$\frac{a}{- 7} = 4$

Step 2

Multiply both sides of the equation by $- 7$ .

$- 7 \frac{a}{- 7} = - 7 \cdot 4$

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 $- 7 \frac{a}{- 7}$ .

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Step 3.1.1.1

Cancel the common factor of $7$ .

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Step 3.1.1.1.1

Factor $7$ out of $- 7$ .

$7 (- 1) \frac{a}{- 7} = - 7 \cdot 4$

Step 3.1.1.1.2

Factor $7$ out of $- 7$ .

$7 \cdot - 1 \frac{a}{7 \cdot - 1} = - 7 \cdot 4$

Step 3.1.1.1.3

Cancel the common factor.

$7 \cdot - 1 \frac{a}{7 \cdot - 1} = - 7 \cdot 4$

Step 3.1.1.1.4

Rewrite the expression.

$- \frac{a}{- 1} = - 7 \cdot 4$

$- \frac{a}{- 1} = - 7 \cdot 4$

Step 3.1.1.2

Simplify the expression.

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Step 3.1.1.2.1

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

$- (- 1 \cdot a) = - 7 \cdot 4$

Step 3.1.1.2.2

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

$- - a = - 7 \cdot 4$

$- - a = - 7 \cdot 4$

Step 3.1.1.3

Multiply $- - a$ .

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Step 3.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 a = - 7 \cdot 4$

Step 3.1.1.3.2

Multiply $a$ by $1$ .

$a = - 7 \cdot 4$

$a = - 7 \cdot 4$

$a = - 7 \cdot 4$

$a = - 7 \cdot 4$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $- 7$ by $4$ .

$a = - 28$

$a = - 28$

$a = - 28$

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