Pre-Algebra Examples

$a = \frac{r}{2 l} \cdot (l)$

Step 1

Rewrite the equation as $\frac{r}{2 l} \cdot (l) = a$ .

$\frac{r}{2 l} \cdot (l) = a$

Step 2

Factor each term.

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Step 2.1

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

$\frac{r l}{2 l} = a$

Step 2.2

Reduce the expression $\frac{r l}{2 l}$ by cancelling the common factors.

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Step 2.2.1

Cancel the common factor.

$\frac{r l}{2 l} = a$

Step 2.2.2

Rewrite the expression.

$\frac{r}{2} = a$

Step 3

Solve the equation.

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Step 3.1

Multiply both sides by $2$ .

$\frac{r}{2} \cdot 2 = a \cdot 2$

Step 3.2

Simplify.

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Step 3.2.1

Simplify the left side.

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Step 3.2.1.1

Cancel the common factor of $2$ .

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Step 3.2.1.1.1

Cancel the common factor.

$\frac{r}{2} \cdot 2 = a \cdot 2$

Step 3.2.1.1.2

Rewrite the expression.

$r = a \cdot 2$

Step 3.2.2

Simplify the right side.

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Step 3.2.2.1

Move $2$ to the left of $a$ .

$r = 2 a$

Step 4

The variable $l$ got canceled.

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$