Basic Math Examples

$6.5 = 2 p (1.87) \cdot r$

Step 1

Rewrite the equation as $2 p \cdot 1.87 \cdot r = 6.5$ .

$2 p \cdot 1.87 \cdot r = 6.5$

Step 2

Multiply $1.87$ by $2$ .

$3.74 p \cdot r = 6.5$

Step 3

Divide each term in $3.74 p \cdot r = 6.5$ by $3.74 p$ and simplify.

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Step 3.1

Divide each term in $3.74 p \cdot r = 6.5$ by $3.74 p$ .

$\frac{3.74 p \cdot r}{3.74 p} = \frac{6.5}{3.74 p}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3.74$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3.74 p \cdot r}{3.74 p} = \frac{6.5}{3.74 p}$

Step 3.2.1.2

Rewrite the expression.

$\frac{p \cdot r}{p} = \frac{6.5}{3.74 p}$

Step 3.2.2

Cancel the common factor of $p$ .

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Step 3.2.2.1

Cancel the common factor.

$\frac{p \cdot r}{p} = \frac{6.5}{3.74 p}$

Step 3.2.2.2

Divide $r$ by $1$ .

$r = \frac{6.5}{3.74 p}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Factor $6.5$ out of $6.5$ .

$r = \frac{6.5 (1)}{3.74 p}$

Step 3.3.2

Factor $3.74$ out of $3.74 p$ .

$r = \frac{6.5 (1)}{3.74 (p)}$

Step 3.3.3

Separate fractions.

$r = \frac{6.5}{3.74} \cdot \frac{1}{p}$

Step 3.3.4

Divide $6.5$ by $3.74$ .

$r = 1.73796791 \frac{1}{p}$

Step 3.3.5

Combine $1.73796791$ and $\frac{1}{p}$ .

$r = \frac{1.73796791}{p}$