Basic Math Examples

$2 \div \frac{\frac{4}{6}}{6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$2 \frac{6}{\frac{4}{6}}$

Step 2

Cancel the common factor of $4$ and $6$ .

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Step 2.1

Factor $2$ out of $4$ .

$2 \frac{6}{\frac{2 (2)}{6}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $6$ .

$2 \frac{6}{\frac{2 \cdot 2}{2 \cdot 3}}$

Step 2.2.2

Cancel the common factor.

$2 \frac{6}{\frac{2 \cdot 2}{2 \cdot 3}}$

Step 2.2.3

Rewrite the expression.

$2 \frac{6}{\frac{2}{3}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$2 (6 (\frac{3}{2}))$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $6$ .

$2 (2 (3) \frac{3}{2})$

Step 4.2

Cancel the common factor.

$2 (2 \cdot 3 \frac{3}{2})$

Step 4.3

Rewrite the expression.

$2 (3 \cdot 3)$

Step 5

Multiply.

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Step 5.1

Multiply $3$ by $3$ .

$2 \cdot 9$

Step 5.2

Multiply $2$ by $9$ .

$18$