Basic Math Examples

$11 (p - 11) = 2 + 5$

Step 1

Add $2$ and $5$ .

$11 (p - 11) = 7$

Step 2

Divide each term in $11 (p - 11) = 7$ by $11$ and simplify.

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Step 2.1

Divide each term in $11 (p - 11) = 7$ by $11$ .

$\frac{11 (p - 11)}{11} = \frac{7}{11}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $11$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{11 (p - 11)}{11} = \frac{7}{11}$

Step 2.2.1.2

Divide $p - 11$ by $1$ .

$p - 11 = \frac{7}{11}$

Step 3

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

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Step 3.1

Add $11$ to both sides of the equation.

$p = \frac{7}{11} + 11$

Step 3.2

To write $11$ as a fraction with a common denominator, multiply by $\frac{11}{11}$ .

$p = \frac{7}{11} + 11 \cdot \frac{11}{11}$

Step 3.3

Combine $11$ and $\frac{11}{11}$ .

$p = \frac{7}{11} + \frac{11 \cdot 11}{11}$

Step 3.4

Combine the numerators over the common denominator.

$p = \frac{7 + 11 \cdot 11}{11}$

Step 3.5

Simplify the numerator.

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Step 3.5.1

Multiply $11$ by $11$ .

$p = \frac{7 + 121}{11}$

Step 3.5.2

Add $7$ and $121$ .

$p = \frac{128}{11}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$p = \frac{128}{11}$

Decimal Form:

$p = 11.\overline{63}$

Mixed Number Form:

$p = 11 \frac{7}{11}$