Basic Math Examples

$72 = \frac{20}{3} + 9 p$

Step 1

Rewrite the equation as $\frac{20}{3} + 9 p = 72$ .

$\frac{20}{3} + 9 p = 72$

Step 2

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

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Step 2.1

Subtract $\frac{20}{3}$ from both sides of the equation.

$9 p = 72 - \frac{20}{3}$

Step 2.2

To write $72$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$9 p = 72 \cdot \frac{3}{3} - \frac{20}{3}$

Step 2.3

Combine $72$ and $\frac{3}{3}$ .

$9 p = \frac{72 \cdot 3}{3} - \frac{20}{3}$

Step 2.4

Combine the numerators over the common denominator.

$9 p = \frac{72 \cdot 3 - 20}{3}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $72$ by $3$ .

$9 p = \frac{216 - 20}{3}$

Step 2.5.2

Subtract $20$ from $216$ .

$9 p = \frac{196}{3}$

Step 3

Divide each term in $9 p = \frac{196}{3}$ by $9$ and simplify.

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Step 3.1

Divide each term in $9 p = \frac{196}{3}$ by $9$ .

$\frac{9 p}{9} = \frac{\frac{196}{3}}{9}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $9$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{9 p}{9} = \frac{\frac{196}{3}}{9}$

Step 3.2.1.2

Divide $p$ by $1$ .

$p = \frac{\frac{196}{3}}{9}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Multiply the numerator by the reciprocal of the denominator.

$p = \frac{196}{3} \cdot \frac{1}{9}$

Step 3.3.2

Multiply $\frac{196}{3} \cdot \frac{1}{9}$ .

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Step 3.3.2.1

Multiply $\frac{196}{3}$ by $\frac{1}{9}$ .

$p = \frac{196}{3 \cdot 9}$

Step 3.3.2.2

Multiply $3$ by $9$ .

$p = \frac{196}{27}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$p = \frac{196}{27}$

Decimal Form:

$p = 7.\overline{259}$

Mixed Number Form:

$p = 7 \frac{7}{27}$