Pre-Algebra Examples

$5 r - \frac{1}{5} = \frac{4}{5}$

Step 1

Move all terms not containing $r$ to the right side of the equation.

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Step 1.1

Add $\frac{1}{5}$ to both sides of the equation.

$5 r = \frac{4}{5} + \frac{1}{5}$

Step 1.2

Combine the numerators over the common denominator.

$5 r = \frac{4 + 1}{5}$

Step 1.3

Add $4$ and $1$ .

$5 r = \frac{5}{5}$

Step 1.4

Divide $5$ by $5$ .

$5 r = 1$

Step 2

Divide each term in $5 r = 1$ by $5$ and simplify.

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Step 2.1

Divide each term in $5 r = 1$ by $5$ .

$\frac{5 r}{5} = \frac{1}{5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{5 r}{5} = \frac{1}{5}$

Step 2.2.1.2

Divide $r$ by $1$ .

$r = \frac{1}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$r = \frac{1}{5}$

Decimal Form:

$r = 0.2$