Basic Math Examples

6 \frac{1}{2} \div 2

$6 \frac{1}{2} \div 2$

Step 1

Convert

6 \frac{1}{2}

$6 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

(6 + \frac{1}{2}) \div 2

$(6 + \frac{1}{2}) \div 2$

Step 1.2

Add

6

$6$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

To write

6

$6$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

(6 \cdot \frac{2}{2} + \frac{1}{2}) \div 2

$(6 \cdot \frac{2}{2} + \frac{1}{2}) \div 2$

Step 1.2.2

Combine

6

$6$ and

\frac{2}{2}

$\frac{2}{2}$ .

(\frac{6 \cdot 2}{2} + \frac{1}{2}) \div 2

$(\frac{6 \cdot 2}{2} + \frac{1}{2}) \div 2$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{6 \cdot 2 + 1}{2} \div 2

$\frac{6 \cdot 2 + 1}{2} \div 2$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

6

$6$ by

2

$2$ .

\frac{12 + 1}{2} \div 2

$\frac{12 + 1}{2} \div 2$

Step 1.2.4.2

Add

12

$12$ and

1

$1$ .

\frac{13}{2} \div 2

$\frac{13}{2} \div 2$

\frac{13}{2} \div 2

$\frac{13}{2} \div 2$

\frac{13}{2} \div 2

$\frac{13}{2} \div 2$

\frac{13}{2} \div 2

$\frac{13}{2} \div 2$

Step 2

Rewrite the division as a fraction.

\frac{\frac{13}{2}}{2}

$\frac{\frac{13}{2}}{2}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

\frac{13}{2} \cdot \frac{1}{2}

$\frac{13}{2} \cdot \frac{1}{2}$

Step 4

Multiply

\frac{13}{2} \cdot \frac{1}{2}

$\frac{13}{2} \cdot \frac{1}{2}$ .

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Step 4.1

Multiply

\frac{13}{2}

$\frac{13}{2}$ by

\frac{1}{2}

$\frac{1}{2}$ .

\frac{13}{2 \cdot 2}

$\frac{13}{2 \cdot 2}$

Step 4.2

Multiply

2

$2$ by

2

$2$ .

\frac{13}{4}

$\frac{13}{4}$

\frac{13}{4}

$\frac{13}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{13}{4}

$\frac{13}{4}$

Decimal Form:

3.25

$3.25$

Mixed Number Form:

3 \frac{1}{4}

$3 \frac{1}{4}$