Basic Math Examples

$\frac{1}{4} + (\frac{1}{3} + 2 - (- \frac{1}{3} - \frac{7}{12}) - 1) - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})$

Step 1

Remove parentheses.

$\frac{1}{4} + \frac{1}{3} + 2 - (- \frac{1}{3} - \frac{7}{12}) - 1 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})$

Step 2

Find the common denominator.

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Step 2.1

Multiply $\frac{1}{4}$ by $\frac{3}{3}$ .

$\frac{1}{4} \cdot \frac{3}{3} + \frac{1}{3} + 2 - (- \frac{1}{3} - \frac{7}{12}) - 1 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})$

Step 2.2

Multiply $\frac{1}{4}$ by $\frac{3}{3}$ .

$\frac{3}{4 \cdot 3} + \frac{1}{3} + 2 - (- \frac{1}{3} - \frac{7}{12}) - 1 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})$

Step 2.3

Multiply $\frac{1}{3}$ by $\frac{4}{4}$ .

$\frac{3}{4 \cdot 3} + \frac{1}{3} \cdot \frac{4}{4} + 2 - (- \frac{1}{3} - \frac{7}{12}) - 1 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})$

Step 2.4

Multiply $\frac{1}{3}$ by $\frac{4}{4}$ .

$\frac{3}{4 \cdot 3} + \frac{4}{3 \cdot 4} + 2 - (- \frac{1}{3} - \frac{7}{12}) - 1 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})$

Step 2.5

Write $2$ as a fraction with denominator $1$ .

$\frac{3}{4 \cdot 3} + \frac{4}{3 \cdot 4} + \frac{2}{1} - (- \frac{1}{3} - \frac{7}{12}) - 1 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})$

Step 2.6

Multiply $\frac{2}{1}$ by $\frac{12}{12}$ .

$\frac{3}{4 \cdot 3} + \frac{4}{3 \cdot 4} + \frac{2}{1} \cdot \frac{12}{12} - (- \frac{1}{3} - \frac{7}{12}) - 1 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})$

Step 2.7

Multiply $\frac{2}{1}$ by $\frac{12}{12}$ .

$\frac{3}{4 \cdot 3} + \frac{4}{3 \cdot 4} + \frac{2 \cdot 12}{12} - (- \frac{1}{3} - \frac{7}{12}) - 1 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})$

Step 2.8

Write $- (- \frac{1}{3} - \frac{7}{12})$ as a fraction with denominator $1$ .

$\frac{3}{4 \cdot 3} + \frac{4}{3 \cdot 4} + \frac{2 \cdot 12}{12} + \frac{- (- \frac{1}{3} - \frac{7}{12})}{1} - 1 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})$

Step 2.9

Multiply $\frac{- (- \frac{1}{3} - \frac{7}{12})}{1}$ by $\frac{12}{12}$ .

$\frac{3}{4 \cdot 3} + \frac{4}{3 \cdot 4} + \frac{2 \cdot 12}{12} + \frac{- (- \frac{1}{3} - \frac{7}{12})}{1} \cdot \frac{12}{12} - 1 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})$

Step 2.10

Multiply $\frac{- (- \frac{1}{3} - \frac{7}{12})}{1}$ by $\frac{12}{12}$ .

$\frac{3}{4 \cdot 3} + \frac{4}{3 \cdot 4} + \frac{2 \cdot 12}{12} + \frac{- (- \frac{1}{3} - \frac{7}{12}) \cdot 12}{12} - 1 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})$

Step 2.11

Write $- 1$ as a fraction with denominator $1$ .

$\frac{3}{4 \cdot 3} + \frac{4}{3 \cdot 4} + \frac{2 \cdot 12}{12} + \frac{- (- \frac{1}{3} - \frac{7}{12}) \cdot 12}{12} + \frac{- 1}{1} - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})$

Step 2.12

Multiply $\frac{- 1}{1}$ by $\frac{12}{12}$ .

$\frac{3}{4 \cdot 3} + \frac{4}{3 \cdot 4} + \frac{2 \cdot 12}{12} + \frac{- (- \frac{1}{3} - \frac{7}{12}) \cdot 12}{12} + \frac{- 1}{1} \cdot \frac{12}{12} - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})$

Step 2.13

Multiply $\frac{- 1}{1}$ by $\frac{12}{12}$ .

$\frac{3}{4 \cdot 3} + \frac{4}{3 \cdot 4} + \frac{2 \cdot 12}{12} + \frac{- (- \frac{1}{3} - \frac{7}{12}) \cdot 12}{12} + \frac{- 1 \cdot 12}{12} - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})$

Step 2.14

Write $- (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})$ as a fraction with denominator $1$ .

$\frac{3}{4 \cdot 3} + \frac{4}{3 \cdot 4} + \frac{2 \cdot 12}{12} + \frac{- (- \frac{1}{3} - \frac{7}{12}) \cdot 12}{12} + \frac{- 1 \cdot 12}{12} + \frac{- (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})}{1}$

Step 2.15

Multiply $\frac{- (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})}{1}$ by $\frac{12}{12}$ .

Step 2.16

Multiply $\frac{- (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2})}{1}$ by $\frac{12}{12}$ .

Step 2.17

Reorder the factors of $4 \cdot 3$ .

$\frac{3}{3 \cdot 4} + \frac{4}{3 \cdot 4} + \frac{2 \cdot 12}{12} + \frac{- (- \frac{1}{3} - \frac{7}{12}) \cdot 12}{12} + \frac{- 1 \cdot 12}{12} + \frac{- (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2}) \cdot 12}{12}$

Step 2.18

Multiply $3$ by $4$ .

$\frac{3}{12} + \frac{4}{3 \cdot 4} + \frac{2 \cdot 12}{12} + \frac{- (- \frac{1}{3} - \frac{7}{12}) \cdot 12}{12} + \frac{- 1 \cdot 12}{12} + \frac{- (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2}) \cdot 12}{12}$

Step 2.19

Multiply $3$ by $4$ .

$\frac{3}{12} + \frac{4}{12} + \frac{2 \cdot 12}{12} + \frac{- (- \frac{1}{3} - \frac{7}{12}) \cdot 12}{12} + \frac{- 1 \cdot 12}{12} + \frac{- (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2}) \cdot 12}{12}$

Step 3

Combine the numerators over the common denominator.

$\frac{3 + 4 + 2 \cdot 12 - (- \frac{1}{3} - \frac{7}{12}) \cdot 12 - 1 \cdot 12 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2}) \cdot 12}{12}$

Step 4

Simplify each term.

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Step 4.1

Multiply $2$ by $12$ .

$\frac{3 + 4 + 24 - (- \frac{1}{3} - \frac{7}{12}) \cdot 12 - 1 \cdot 12 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2}) \cdot 12}{12}$

Step 4.2

To write $- \frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{3 + 4 + 24 - (- \frac{1}{3} \cdot \frac{4}{4} - \frac{7}{12}) \cdot 12 - 1 \cdot 12 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2}) \cdot 12}{12}$

Step 4.3

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.3.1

Multiply $\frac{1}{3}$ by $\frac{4}{4}$ .

$\frac{3 + 4 + 24 - (- \frac{4}{3 \cdot 4} - \frac{7}{12}) \cdot 12 - 1 \cdot 12 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2}) \cdot 12}{12}$

Step 4.3.2

Multiply $3$ by $4$ .

$\frac{3 + 4 + 24 - (- \frac{4}{12} - \frac{7}{12}) \cdot 12 - 1 \cdot 12 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2}) \cdot 12}{12}$

Step 4.4

Combine the numerators over the common denominator.

$\frac{3 + 4 + 24 - \frac{- 4 - 7}{12} \cdot 12 - 1 \cdot 12 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2}) \cdot 12}{12}$

Step 4.5

Subtract $7$ from $- 4$ .

$\frac{3 + 4 + 24 - \frac{- 11}{12} \cdot 12 - 1 \cdot 12 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2}) \cdot 12}{12}$

Step 4.6

Cancel the common factor of $12$ .

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Step 4.6.1

Move the leading negative in $- \frac{- 11}{12}$ into the numerator.

$\frac{3 + 4 + 24 + \frac{11}{12} \cdot 12 - 1 \cdot 12 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2}) \cdot 12}{12}$

Step 4.6.2

Cancel the common factor.

$\frac{3 + 4 + 24 + \frac{11}{12} \cdot 12 - 1 \cdot 12 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2}) \cdot 12}{12}$

Step 4.6.3

Rewrite the expression.

$\frac{3 + 4 + 24 + 11 - 1 \cdot 12 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2}) \cdot 12}{12}$

Step 4.7

Multiply $- 1$ by $12$ .

$\frac{3 + 4 + 24 + 11 - 12 - (- 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2}) \cdot 12}{12}$

Step 4.8

Find the common denominator.

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Step 4.8.1

Write $- 2$ as a fraction with denominator $1$ .

$\frac{3 + 4 + 24 + 11 - 12 - (\frac{- 2}{1} - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2}) \cdot 12}{12}$

Step 4.8.2

Multiply $\frac{- 2}{1}$ by $\frac{2}{2}$ .

$\frac{3 + 4 + 24 + 11 - 12 - (\frac{- 2}{1} \cdot \frac{2}{2} - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2}) \cdot 12}{12}$

Step 4.8.3

Multiply $\frac{- 2}{1}$ by $\frac{2}{2}$ .

$\frac{3 + 4 + 24 + 11 - 12 - (\frac{- 2 \cdot 2}{2} - (3 \cdot \frac{1}{6} - \frac{1}{3}) + \frac{1}{2}) \cdot 12}{12}$

Step 4.8.4

Write $- (3 \cdot \frac{1}{6} - \frac{1}{3})$ as a fraction with denominator $1$ .

$\frac{3 + 4 + 24 + 11 - 12 - (\frac{- 2 \cdot 2}{2} + \frac{- (3 \cdot \frac{1}{6} - \frac{1}{3})}{1} + \frac{1}{2}) \cdot 12}{12}$

Step 4.8.5

Multiply $\frac{- (3 \cdot \frac{1}{6} - \frac{1}{3})}{1}$ by $\frac{2}{2}$ .

$\frac{3 + 4 + 24 + 11 - 12 - (\frac{- 2 \cdot 2}{2} + \frac{- (3 \cdot \frac{1}{6} - \frac{1}{3})}{1} \cdot \frac{2}{2} + \frac{1}{2}) \cdot 12}{12}$

Step 4.8.6

Multiply $\frac{- (3 \cdot \frac{1}{6} - \frac{1}{3})}{1}$ by $\frac{2}{2}$ .

$\frac{3 + 4 + 24 + 11 - 12 - (\frac{- 2 \cdot 2}{2} + \frac{- (3 \cdot \frac{1}{6} - \frac{1}{3}) \cdot 2}{2} + \frac{1}{2}) \cdot 12}{12}$

Step 4.9

Combine the numerators over the common denominator.

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 2 \cdot 2 - (3 \cdot \frac{1}{6} - \frac{1}{3}) \cdot 2 + 1}{2} \cdot 12}{12}$

Step 4.10

Simplify each term.

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Step 4.10.1

Multiply $- 2$ by $2$ .

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 4 - (3 \cdot \frac{1}{6} - \frac{1}{3}) \cdot 2 + 1}{2} \cdot 12}{12}$

Step 4.10.2

Cancel the common factor of $3$ .

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Step 4.10.2.1

Factor $3$ out of $6$ .

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 4 - (3 \cdot \frac{1}{3 (2)} - \frac{1}{3}) \cdot 2 + 1}{2} \cdot 12}{12}$

Step 4.10.2.2

Cancel the common factor.

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 4 - (3 \cdot \frac{1}{3 \cdot 2} - \frac{1}{3}) \cdot 2 + 1}{2} \cdot 12}{12}$

Step 4.10.2.3

Rewrite the expression.

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 4 - (\frac{1}{2} - \frac{1}{3}) \cdot 2 + 1}{2} \cdot 12}{12}$

Step 4.10.3

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 4 - (\frac{1}{2} \cdot \frac{3}{3} - \frac{1}{3}) \cdot 2 + 1}{2} \cdot 12}{12}$

Step 4.10.4

To write $- \frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 4 - (\frac{1}{2} \cdot \frac{3}{3} - \frac{1}{3} \cdot \frac{2}{2}) \cdot 2 + 1}{2} \cdot 12}{12}$

Step 4.10.5

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.10.5.1

Multiply $\frac{1}{2}$ by $\frac{3}{3}$ .

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 4 - (\frac{3}{2 \cdot 3} - \frac{1}{3} \cdot \frac{2}{2}) \cdot 2 + 1}{2} \cdot 12}{12}$

Step 4.10.5.2

Multiply $2$ by $3$ .

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 4 - (\frac{3}{6} - \frac{1}{3} \cdot \frac{2}{2}) \cdot 2 + 1}{2} \cdot 12}{12}$

Step 4.10.5.3

Multiply $\frac{1}{3}$ by $\frac{2}{2}$ .

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 4 - (\frac{3}{6} - \frac{2}{3 \cdot 2}) \cdot 2 + 1}{2} \cdot 12}{12}$

Step 4.10.5.4

Multiply $3$ by $2$ .

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 4 - (\frac{3}{6} - \frac{2}{6}) \cdot 2 + 1}{2} \cdot 12}{12}$

Step 4.10.6

Combine the numerators over the common denominator.

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 4 - \frac{3 - 2}{6} \cdot 2 + 1}{2} \cdot 12}{12}$

Step 4.10.7

Subtract $2$ from $3$ .

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 4 - \frac{1}{6} \cdot 2 + 1}{2} \cdot 12}{12}$

Step 4.10.8

Cancel the common factor of $2$ .

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Step 4.10.8.1

Move the leading negative in $- \frac{1}{6}$ into the numerator.

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 4 + \frac{- 1}{6} \cdot 2 + 1}{2} \cdot 12}{12}$

Step 4.10.8.2

Factor $2$ out of $6$ .

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 4 + \frac{- 1}{2 (3)} \cdot 2 + 1}{2} \cdot 12}{12}$

Step 4.10.8.3

Cancel the common factor.

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 4 + \frac{- 1}{2 \cdot 3} \cdot 2 + 1}{2} \cdot 12}{12}$

Step 4.10.8.4

Rewrite the expression.

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 4 + \frac{- 1}{3} + 1}{2} \cdot 12}{12}$

Step 4.10.9

Move the negative in front of the fraction.

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- 4 - \frac{1}{3} + 1}{2} \cdot 12}{12}$

Step 4.11

Find the common denominator.

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Step 4.11.1

Write $- 4$ as a fraction with denominator $1$ .

$\frac{3 + 4 + 24 + 11 - 12 - \frac{\frac{- 4}{1} - \frac{1}{3} + 1}{2} \cdot 12}{12}$

Step 4.11.2

Multiply $\frac{- 4}{1}$ by $\frac{3}{3}$ .

$\frac{3 + 4 + 24 + 11 - 12 - \frac{\frac{- 4}{1} \cdot \frac{3}{3} - \frac{1}{3} + 1}{2} \cdot 12}{12}$

Step 4.11.3

Multiply $\frac{- 4}{1}$ by $\frac{3}{3}$ .

$\frac{3 + 4 + 24 + 11 - 12 - \frac{\frac{- 4 \cdot 3}{3} - \frac{1}{3} + 1}{2} \cdot 12}{12}$

Step 4.11.4

Write $1$ as a fraction with denominator $1$ .

$\frac{3 + 4 + 24 + 11 - 12 - \frac{\frac{- 4 \cdot 3}{3} - \frac{1}{3} + \frac{1}{1}}{2} \cdot 12}{12}$

Step 4.11.5

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

$\frac{3 + 4 + 24 + 11 - 12 - \frac{\frac{- 4 \cdot 3}{3} - \frac{1}{3} + \frac{1}{1} \cdot \frac{3}{3}}{2} \cdot 12}{12}$

Step 4.11.6

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

$\frac{3 + 4 + 24 + 11 - 12 - \frac{\frac{- 4 \cdot 3}{3} - \frac{1}{3} + \frac{3}{3}}{2} \cdot 12}{12}$

Step 4.12

Combine the numerators over the common denominator.

$\frac{3 + 4 + 24 + 11 - 12 - \frac{\frac{- 4 \cdot 3 - 1 + 3}{3}}{2} \cdot 12}{12}$

Step 4.13

Multiply $- 4$ by $3$ .

$\frac{3 + 4 + 24 + 11 - 12 - \frac{\frac{- 12 - 1 + 3}{3}}{2} \cdot 12}{12}$

Step 4.14

Subtract $1$ from $- 12$ .

$\frac{3 + 4 + 24 + 11 - 12 - \frac{\frac{- 13 + 3}{3}}{2} \cdot 12}{12}$

Step 4.15

Add $- 13$ and $3$ .

$\frac{3 + 4 + 24 + 11 - 12 - \frac{\frac{- 10}{3}}{2} \cdot 12}{12}$

Step 4.16

Move the negative in front of the fraction.

$\frac{3 + 4 + 24 + 11 - 12 - \frac{- \frac{10}{3}}{2} \cdot 12}{12}$

Step 4.17

Cancel the common factor of $2$ .

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Step 4.17.1

Move the leading negative in $- \frac{- \frac{10}{3}}{2}$ into the numerator.

$\frac{3 + 4 + 24 + 11 - 12 + \frac{\frac{10}{3}}{2} \cdot 12}{12}$

Step 4.17.2

Factor $2$ out of $12$ .

$\frac{3 + 4 + 24 + 11 - 12 + \frac{\frac{10}{3}}{2} \cdot (2 (6))}{12}$

Step 4.17.3

Cancel the common factor.

$\frac{3 + 4 + 24 + 11 - 12 + \frac{\frac{10}{3}}{2} \cdot (2 \cdot 6)}{12}$

Step 4.17.4

Rewrite the expression.

$\frac{3 + 4 + 24 + 11 - 12 + \frac{10}{3} \cdot 6}{12}$

Step 4.18

Combine $\frac{10}{3}$ and $6$ .

$\frac{3 + 4 + 24 + 11 - 12 + \frac{10 \cdot 6}{3}}{12}$

Step 4.19

Multiply $10$ by $6$ .

$\frac{3 + 4 + 24 + 11 - 12 + \frac{60}{3}}{12}$

Step 4.20

Divide $60$ by $3$ .

$\frac{3 + 4 + 24 + 11 - 12 + 20}{12}$

Step 5

Reduce the expression by cancelling the common factors.

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Step 5.1

Add $3$ and $4$ .

$\frac{7 + 24 + 11 - 12 + 20}{12}$

Step 5.2

Simplify by adding and subtracting.

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Step 5.2.1

Add $7$ and $24$ .

$\frac{31 + 11 - 12 + 20}{12}$

Step 5.2.2

Add $31$ and $11$ .

$\frac{42 - 12 + 20}{12}$

Step 5.2.3

Subtract $12$ from $42$ .

$\frac{30 + 20}{12}$

Step 5.2.4

Add $30$ and $20$ .

$\frac{50}{12}$

Step 5.3

Cancel the common factor of $50$ and $12$ .

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Step 5.3.1

Factor $2$ out of $50$ .

$\frac{2 (25)}{12}$

Step 5.3.2

Cancel the common factors.

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Step 5.3.2.1

Factor $2$ out of $12$ .

$\frac{2 \cdot 25}{2 \cdot 6}$

Step 5.3.2.2

Cancel the common factor.

$\frac{2 \cdot 25}{2 \cdot 6}$

Step 5.3.2.3

Rewrite the expression.

$\frac{25}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{6}$

Decimal Form:

$4.1\overline{6}$

Mixed Number Form:

$4 \frac{1}{6}$