Solve for r 18=140r17/365

$18 = 140 \cdot r \cdot \frac{17}{365}$

Rewrite the equation as $140 \cdot r \cdot \frac{17}{365} = 18$ .

$140 \cdot r \cdot \frac{17}{365} = 18$

Simplify.

Combine $140$ and $\frac{17}{365}$ .

$r \cdot \frac{140 \cdot 17}{365} = 18$

Multiply $140$ by $17$ .

$r \cdot \frac{2380}{365} = 18$

Combine $r$ and $\frac{2380}{365}$ .

$\frac{r \cdot 2380}{365} = 18$

Multiply each term in $\frac{r \cdot 2380}{365} = 18$ by $\frac{73}{476}$ to eliminate the fractions.

Multiply each term in $\frac{r \cdot 2380}{365} = 18$ by $\frac{73}{476}$ .

$\frac{r \cdot 2380}{365} \cdot \frac{73}{476} = 18 (\frac{73}{476})$

Simplify the left side.

Cancel the common factor of $476$ .

Factor $476$ out of $r \cdot 2380$ .

$\frac{476 (r \cdot 5)}{365} \cdot \frac{73}{476} = 18 (\frac{73}{476})$

Cancel the common factor.

$\frac{476 (r \cdot 5)}{365} \cdot \frac{73}{476} = 18 (\frac{73}{476})$

Rewrite the expression.

$\frac{r \cdot 5}{365} \cdot 73 = 18 (\frac{73}{476})$

Cancel the common factor of $73$ .

Factor $73$ out of $365$ .

$\frac{r \cdot 5}{73 (5)} \cdot 73 = 18 (\frac{73}{476})$

Cancel the common factor.

$\frac{r \cdot 5}{73 \cdot 5} \cdot 73 = 18 (\frac{73}{476})$

Rewrite the expression.

$\frac{r \cdot 5}{5} = 18 (\frac{73}{476})$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{r \cdot 5}{5} = 18 (\frac{73}{476})$

Divide $r$ by $1$ .

$r = 18 (\frac{73}{476})$

Simplify the right side.

Cancel the common factor of $2$ .

Factor $2$ out of $18$ .

$r = 2 (9) \frac{73}{476}$

Factor $2$ out of $476$ .

$r = 2 \cdot 9 \frac{73}{2 \cdot 238}$

Cancel the common factor.

$r = 2 \cdot 9 \frac{73}{2 \cdot 238}$

Rewrite the expression.

$r = 9 (\frac{73}{238})$

Combine $9$ and $\frac{73}{238}$ .

$r = \frac{9 \cdot 73}{238}$

Multiply $9$ by $73$ .

$r = \frac{657}{238}$

The result can be shown in multiple forms.

Exact Form:

$r = \frac{657}{238}$

Decimal Form:

$r = 2.76050420 \dots$

Mixed Number Form:

$r = 2 \frac{181}{238}$

Solve for r 18=140*r*17/365

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Solve for r 18=140r17/365