Basic Math Examples

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

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

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{3}{4} \cdot 6

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

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Factor

2

$2$ out of

4

$4$ .

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

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

Step 2.2

Factor

2

$2$ out of

6

$6$ .

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

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

Step 2.3

Cancel the common factor.

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

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

Step 2.4

Rewrite the expression.

\frac{3}{2} \cdot 3

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

\frac{3}{2} \cdot 3

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

Step 3

Combine

\frac{3}{2}

$\frac{3}{2}$ and

3

$3$ .

\frac{3 \cdot 3}{2}

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

Step 4

Multiply

3

$3$ by

3

$3$ .

\frac{9}{2}

$\frac{9}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{9}{2}

$\frac{9}{2}$

Decimal Form:

4.5

$4.5$

Mixed Number Form:

4 \frac{1}{2}

$4 \frac{1}{2}$

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