Pre-Algebra Examples

$\frac{3}{4} \div \frac{1}{6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{4} \cdot 6$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $4$ .

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

Step 2.2

Factor $2$ out of $6$ .

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

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

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

Step 3

Combine $\frac{3}{2}$ and $3$ .

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

Step 4

Multiply $3$ by $3$ .

$\frac{9}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{2}$

Decimal Form:

$4.5$

Mixed Number Form:

$4 \frac{1}{2}$

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