Basic Math Examples

$- \frac{m}{3} = \frac{1}{5}$

Step 1

Multiply both sides of the equation by $- 3$ .

$- 3 (- \frac{m}{3}) = - 3 (\frac{1}{5})$

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 $- 3 (- \frac{m}{3})$ .

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Step 2.1.1.1

Cancel the common factor of $3$ .

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Step 2.1.1.1.1

Move the leading negative in $- \frac{m}{3}$ into the numerator.

$- 3 \frac{- m}{3} = - 3 (\frac{1}{5})$

Step 2.1.1.1.2

Factor $3$ out of $- 3$ .

$3 (- 1) \frac{- m}{3} = - 3 (\frac{1}{5})$

Step 2.1.1.1.3

Cancel the common factor.

$3 \cdot - 1 \frac{- m}{3} = - 3 (\frac{1}{5})$

Step 2.1.1.1.4

Rewrite the expression.

$- - m = - 3 (\frac{1}{5})$

$- - m = - 3 (\frac{1}{5})$

Step 2.1.1.2

Multiply.

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Step 2.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 m = - 3 (\frac{1}{5})$

Step 2.1.1.2.2

Multiply $m$ by $1$ .

$m = - 3 (\frac{1}{5})$

$m = - 3 (\frac{1}{5})$

$m = - 3 (\frac{1}{5})$

$m = - 3 (\frac{1}{5})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $- 3 (\frac{1}{5})$ .

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Step 2.2.1.1

Combine $- 3$ and $\frac{1}{5}$ .

$m = \frac{- 3}{5}$

Step 2.2.1.2

Move the negative in front of the fraction.

$m = - \frac{3}{5}$

$m = - \frac{3}{5}$

$m = - \frac{3}{5}$

$m = - \frac{3}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$m = - \frac{3}{5}$

Decimal Form:

$m = - 0.6$

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