Basic Math Examples

$b = \frac{1}{2} \cdot (g r)$

Step 1

Rewrite the equation as $\frac{1}{2} \cdot (g r) = b$ .

$\frac{1}{2} \cdot (g r) = b$

Step 2

Multiply both sides of the equation by $2$ .

$2 (\frac{1}{2} \cdot (g r)) = 2 b$

Step 3

Simplify the left side.

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Step 3.1

Simplify $2 (\frac{1}{2} \cdot (g r))$ .

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Step 3.1.1

Multiply $\frac{1}{2} (g r)$ .

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Step 3.1.1.1

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

$2 (\frac{g}{2} r) = 2 b$

Step 3.1.1.2

Combine $\frac{g}{2}$ and $r$ .

$2 \frac{g r}{2} = 2 b$

Step 3.1.2

Cancel the common factor of $2$ .

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Step 3.1.2.1

Cancel the common factor.

$2 \frac{g r}{2} = 2 b$

Step 3.1.2.2

Rewrite the expression.

$g r = 2 b$

Step 4

Divide each term in $g r = 2 b$ by $r$ and simplify.

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Step 4.1

Divide each term in $g r = 2 b$ by $r$ .

$\frac{g r}{r} = \frac{2 b}{r}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $r$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{g r}{r} = \frac{2 b}{r}$

Step 4.2.1.2

Divide $g$ by $1$ .

$g = \frac{2 b}{r}$