Pre-Algebra Examples

$\frac{39}{5} = 2 m$

Step 1

Rewrite the equation as $2 m = \frac{39}{5}$ .

$2 m = \frac{39}{5}$

Step 2

Divide each term in $2 m = \frac{39}{5}$ by $2$ and simplify.

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Step 2.1

Divide each term in $2 m = \frac{39}{5}$ by $2$ .

$\frac{2 m}{2} = \frac{\frac{39}{5}}{2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{2 m}{2} = \frac{\frac{39}{5}}{2}$

Step 2.2.1.2

Divide $m$ by $1$ .

$m = \frac{\frac{39}{5}}{2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$m = \frac{39}{5} \cdot \frac{1}{2}$

Step 2.3.2

Multiply $\frac{39}{5} \cdot \frac{1}{2}$ .

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Step 2.3.2.1

Multiply $\frac{39}{5}$ by $\frac{1}{2}$ .

$m = \frac{39}{5 \cdot 2}$

Step 2.3.2.2

Multiply $5$ by $2$ .

$m = \frac{39}{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$m = \frac{39}{10}$

Decimal Form:

$m = 3.9$

Mixed Number Form:

$m = 3 \frac{9}{10}$