Solve for r -r/4=1/7

$- \frac{r}{4} = \frac{1}{7}$

Step 1

Multiply both sides of the equation by $- 4$ .

$- 4 (- \frac{r}{4}) = - 4 (\frac{1}{7})$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 4 (- \frac{r}{4})$ .

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{r}{4}$ into the numerator.

$- 4 \frac{- r}{4} = - 4 (\frac{1}{7})$

Factor $4$ out of $- 4$ .

$4 (- 1) \frac{- r}{4} = - 4 (\frac{1}{7})$

Cancel the common factor.

$4 \cdot - 1 \frac{- r}{4} = - 4 (\frac{1}{7})$

Rewrite the expression.

$- - r = - 4 (\frac{1}{7})$

$- - r = - 4 (\frac{1}{7})$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 r = - 4 (\frac{1}{7})$

Multiply $r$ by $1$ .

$r = - 4 (\frac{1}{7})$

$r = - 4 (\frac{1}{7})$

$r = - 4 (\frac{1}{7})$

$r = - 4 (\frac{1}{7})$

Simplify the right side.

Simplify $- 4 (\frac{1}{7})$ .

Combine $- 4$ and $\frac{1}{7}$ .

$r = \frac{- 4}{7}$

Move the negative in front of the fraction.

$r = - \frac{4}{7}$

$r = - \frac{4}{7}$

$r = - \frac{4}{7}$

$r = - \frac{4}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$r = - \frac{4}{7}$

Decimal Form:

$r = - 0.\overline{571428}$

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