Pre-Algebra Examples

$\frac{a}{e} = \frac{R + r}{r}$

Step 1

Rewrite the equation as $\frac{R + r}{r} = \frac{a}{e}$ .

$\frac{R + r}{r} = \frac{a}{e}$

Step 2

Multiply both sides by $r$ .

$\frac{R + r}{r} r = \frac{a}{e} r$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $r$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{R + r}{r} r = \frac{a}{e} r$

Step 3.1.1.2

Rewrite the expression.

$R + r = \frac{a}{e} r$

Step 3.2

Simplify the right side.

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Step 3.2.1

Combine $\frac{a}{e}$ and $r$ .

$R + r = \frac{a r}{e}$

Step 4

Subtract $r$ from both sides of the equation.

$R = \frac{a r}{e} - r$