Basic Math Examples

$\frac{63}{23} = - 9 p$

Step 1

Rewrite the equation as $- 9 p = \frac{63}{23}$ .

$- 9 p = \frac{63}{23}$

Step 2

Divide each term in $- 9 p = \frac{63}{23}$ by $- 9$ and simplify.

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Step 2.1

Divide each term in $- 9 p = \frac{63}{23}$ by $- 9$ .

$\frac{- 9 p}{- 9} = \frac{\frac{63}{23}}{- 9}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 9$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 9 p}{- 9} = \frac{\frac{63}{23}}{- 9}$

Step 2.2.1.2

Divide $p$ by $1$ .

$p = \frac{\frac{63}{23}}{- 9}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$p = \frac{63}{23} \cdot \frac{1}{- 9}$

Step 2.3.2

Cancel the common factor of $9$ .

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Step 2.3.2.1

Factor $9$ out of $63$ .

$p = \frac{9 (7)}{23} \cdot \frac{1}{- 9}$

Step 2.3.2.2

Factor $9$ out of $- 9$ .

$p = \frac{9 \cdot 7}{23} \cdot \frac{1}{9 \cdot - 1}$

Step 2.3.2.3

Cancel the common factor.

$p = \frac{9 \cdot 7}{23} \cdot \frac{1}{9 \cdot - 1}$

Step 2.3.2.4

Rewrite the expression.

$p = \frac{7}{23} \cdot \frac{1}{- 1}$

Step 2.3.3

Multiply $\frac{7}{23}$ by $\frac{1}{- 1}$ .

$p = \frac{7}{23 \cdot - 1}$

Step 2.3.4

Simplify the expression.

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Step 2.3.4.1

Multiply $23$ by $- 1$ .

$p = \frac{7}{- 23}$

Step 2.3.4.2

Move the negative in front of the fraction.

$p = - \frac{7}{23}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$p = - \frac{7}{23}$

Decimal Form:

$p = - 0.30434782 \dots$