Basic Math Examples

$\frac{2 r}{7} = 12$

Step 1

Multiply both sides of the equation by $\frac{7}{2}$ .

$\frac{7}{2} \cdot \frac{2 r}{7} = \frac{7}{2} \cdot 12$

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 $\frac{7}{2} \cdot \frac{2 r}{7}$ .

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Step 2.1.1.1

Cancel the common factor of $7$ .

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Step 2.1.1.1.1

Cancel the common factor.

$\frac{7}{2} \cdot \frac{2 r}{7} = \frac{7}{2} \cdot 12$

Step 2.1.1.1.2

Rewrite the expression.

$\frac{1}{2} (2 r) = \frac{7}{2} \cdot 12$

Step 2.1.1.2

Cancel the common factor of $2$ .

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Step 2.1.1.2.1

Factor $2$ out of $2 r$ .

$\frac{1}{2} (2 (r)) = \frac{7}{2} \cdot 12$

Step 2.1.1.2.2

Cancel the common factor.

$\frac{1}{2} (2 r) = \frac{7}{2} \cdot 12$

Step 2.1.1.2.3

Rewrite the expression.

$r = \frac{7}{2} \cdot 12$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{7}{2} \cdot 12$ .

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Step 2.2.1.1

Cancel the common factor of $2$ .

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Step 2.2.1.1.1

Factor $2$ out of $12$ .

$r = \frac{7}{2} \cdot (2 (6))$

Step 2.2.1.1.2

Cancel the common factor.

$r = \frac{7}{2} \cdot (2 \cdot 6)$

Step 2.2.1.1.3

Rewrite the expression.

$r = 7 \cdot 6$

Step 2.2.1.2

Multiply $7$ by $6$ .

$r = 42$