Basic Math Examples

35 \frac{1}{2} \div 3

$35 \frac{1}{2} \div 3$

Step 1

Convert

35 \frac{1}{2}

$35 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

(35 + \frac{1}{2}) \div 3

$(35 + \frac{1}{2}) \div 3$

Step 1.2

Add

35

$35$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

To write

35

$35$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

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

$(35 \cdot \frac{2}{2} + \frac{1}{2}) \div 3$

Step 1.2.2

Combine

35

$35$ and

\frac{2}{2}

$\frac{2}{2}$ .

(\frac{35 \cdot 2}{2} + \frac{1}{2}) \div 3

$(\frac{35 \cdot 2}{2} + \frac{1}{2}) \div 3$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{35 \cdot 2 + 1}{2} \div 3$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$35$ by

$2$ .

$\frac{70 + 1}{2} \div 3$

Step 1.2.4.2

Add

$70$ and

$1$ .

$\frac{71}{2} \div 3$

Step 2

Rewrite the division as a fraction.

$\frac{\frac{71}{2}}{3}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{71}{2} \cdot \frac{1}{3}$

Step 4

Multiply

$\frac{71}{2} \cdot \frac{1}{3}$ .

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Step 4.1

Multiply

$\frac{71}{2}$ by

$\frac{1}{3}$ .

$\frac{71}{2 \cdot 3}$

Step 4.2

Multiply

$2$ by

$3$ .

$\frac{71}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{71}{6}$

Decimal Form:

$11.8\overline{3}$

Mixed Number Form:

$11 \frac{5}{6}$