Pre-Algebra Examples

$\frac{m + 2}{5} = \frac{1}{2}$

Step 1

Multiply both sides of the equation by $5$ .

$5 \frac{m + 2}{5} = 5 (\frac{1}{2})$

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

Cancel the common factor of $5$ .

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Step 2.1.1.1

Cancel the common factor.

$5 \frac{m + 2}{5} = 5 (\frac{1}{2})$

Step 2.1.1.2

Rewrite the expression.

$m + 2 = 5 (\frac{1}{2})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Combine $5$ and $\frac{1}{2}$ .

$m + 2 = \frac{5}{2}$

Step 3

Move all terms not containing $m$ to the right side of the equation.

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Step 3.1

Subtract $2$ from both sides of the equation.

$m = \frac{5}{2} - 2$

Step 3.2

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$m = \frac{5}{2} - 2 \cdot \frac{2}{2}$

Step 3.3

Combine $- 2$ and $\frac{2}{2}$ .

$m = \frac{5}{2} + \frac{- 2 \cdot 2}{2}$

Step 3.4

Combine the numerators over the common denominator.

$m = \frac{5 - 2 \cdot 2}{2}$

Step 3.5

Simplify the numerator.

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Step 3.5.1

Multiply $- 2$ by $2$ .

$m = \frac{5 - 4}{2}$

Step 3.5.2

Subtract $4$ from $5$ .

$m = \frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$m = \frac{1}{2}$

Decimal Form:

$m = 0.5$