Basic Math Examples

\frac{10}{11} \div 6

$\frac{10}{11} \div 6$

Step 1

Rewrite the division as a fraction.

\frac{\frac{10}{11}}{6}

$\frac{\frac{10}{11}}{6}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

\frac{10}{11} \cdot \frac{1}{6}

$\frac{10}{11} \cdot \frac{1}{6}$

Step 3

Cancel the common factor of

2

$2$ .

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Step 3.1

Factor

2

$2$ out of

10

$10$ .

\frac{2 (5)}{11} \cdot \frac{1}{6}

$\frac{2 (5)}{11} \cdot \frac{1}{6}$

Step 3.2

Factor

2

$2$ out of

6

$6$ .

\frac{2 \cdot 5}{11} \cdot \frac{1}{2 \cdot 3}

$\frac{2 \cdot 5}{11} \cdot \frac{1}{2 \cdot 3}$

Step 3.3

Cancel the common factor.

$\frac{2 \cdot 5}{11} \cdot \frac{1}{2 \cdot 3}$

Step 3.4

Rewrite the expression.

$\frac{5}{11} \cdot \frac{1}{3}$

Step 4

Multiply

$\frac{5}{11}$ by

$\frac{1}{3}$ .

$\frac{5}{11 \cdot 3}$

Step 5

Multiply

$11$ by

$3$ .

$\frac{5}{33}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{33}$

Decimal Form:

$0.\overline{15}$