Basic Math Examples

5 \frac{3}{4} \div \frac{1}{2}

$5 \frac{3}{4} \div \frac{1}{2}$

Step 1

Convert

5 \frac{3}{4}

$5 \frac{3}{4}$ to an improper fraction.

Tap for more steps...

Step 1.1

A mixed number is an addition of its whole and fractional parts.

(5 + \frac{3}{4}) \div \frac{1}{2}

$(5 + \frac{3}{4}) \div \frac{1}{2}$

Step 1.2

Add

5

$5$ and

\frac{3}{4}

$\frac{3}{4}$ .

Tap for more steps...

Step 1.2.1

To write

5

$5$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

(5 \cdot \frac{4}{4} + \frac{3}{4}) \div \frac{1}{2}

$(5 \cdot \frac{4}{4} + \frac{3}{4}) \div \frac{1}{2}$

Step 1.2.2

Combine

5

$5$ and

\frac{4}{4}

$\frac{4}{4}$ .

(\frac{5 \cdot 4}{4} + \frac{3}{4}) \div \frac{1}{2}

$(\frac{5 \cdot 4}{4} + \frac{3}{4}) \div \frac{1}{2}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 4 + 3}{4} \div \frac{1}{2}

$\frac{5 \cdot 4 + 3}{4} \div \frac{1}{2}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

5

$5$ by

4

$4$ .

\frac{20 + 3}{4} \div \frac{1}{2}

$\frac{20 + 3}{4} \div \frac{1}{2}$

Step 1.2.4.2

Add

20

$20$ and

3

$3$ .

\frac{23}{4} \div \frac{1}{2}

$\frac{23}{4} \div \frac{1}{2}$

\frac{23}{4} \div \frac{1}{2}

$\frac{23}{4} \div \frac{1}{2}$

\frac{23}{4} \div \frac{1}{2}

$\frac{23}{4} \div \frac{1}{2}$

\frac{23}{4} \div \frac{1}{2}

$\frac{23}{4} \div \frac{1}{2}$

Step 2

To divide by a fraction, multiply by its reciprocal.

\frac{23}{4} \cdot 2

$\frac{23}{4} \cdot 2$

Step 3

Cancel the common factor of

2

$2$ .

Tap for more steps...

Step 3.1

Factor

2

$2$ out of

4

$4$ .

\frac{23}{2 (2)} \cdot 2

$\frac{23}{2 (2)} \cdot 2$

Step 3.2

Cancel the common factor.

$\frac{23}{2 \cdot 2} \cdot 2$

Step 3.3

Rewrite the expression.

$\frac{23}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{23}{2}$

Decimal Form:

$11.5$

Mixed Number Form:

$11 \frac{1}{2}$