Basic Math Examples

$\frac{p + 1}{6} = \frac{6}{11}$

Step 1

Multiply both sides of the equation by $6$ .

$6 \frac{p + 1}{6} = 6 (\frac{6}{11})$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $6$ .

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Step 2.1.1.1

Cancel the common factor.

$6 \frac{p + 1}{6} = 6 (\frac{6}{11})$

Step 2.1.1.2

Rewrite the expression.

$p + 1 = 6 (\frac{6}{11})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $6 (\frac{6}{11})$ .

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Step 2.2.1.1

Combine $6$ and $\frac{6}{11}$ .

$p + 1 = \frac{6 \cdot 6}{11}$

Step 2.2.1.2

Multiply $6$ by $6$ .

$p + 1 = \frac{36}{11}$

Step 3

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

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Step 3.1

Subtract $1$ from both sides of the equation.

$p = \frac{36}{11} - 1$

Step 3.2

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{11}{11}$ .

$p = \frac{36}{11} - 1 \cdot \frac{11}{11}$

Step 3.3

Combine $- 1$ and $\frac{11}{11}$ .

$p = \frac{36}{11} + \frac{- 1 \cdot 11}{11}$

Step 3.4

Combine the numerators over the common denominator.

$p = \frac{36 - 1 \cdot 11}{11}$

Step 3.5

Simplify the numerator.

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Step 3.5.1

Multiply $- 1$ by $11$ .

$p = \frac{36 - 11}{11}$

Step 3.5.2

Subtract $11$ from $36$ .

$p = \frac{25}{11}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$p = \frac{25}{11}$

Decimal Form:

$p = 2.\overline{27}$

Mixed Number Form:

$p = 2 \frac{3}{11}$