Basic Math Examples

4 \frac{2}{3} \div 12

$4 \frac{2}{3} \div 12$

Step 1

Convert

4 \frac{2}{3}

$4 \frac{2}{3}$ to an improper fraction.

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Step 1.1

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

(4 + \frac{2}{3}) \div 12

$(4 + \frac{2}{3}) \div 12$

Step 1.2

Add

4

$4$ and

\frac{2}{3}

$\frac{2}{3}$ .

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Step 1.2.1

To write

4

$4$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

(4 \cdot \frac{3}{3} + \frac{2}{3}) \div 12

$(4 \cdot \frac{3}{3} + \frac{2}{3}) \div 12$

Step 1.2.2

Combine

4

$4$ and

\frac{3}{3}

$\frac{3}{3}$ .

(\frac{4 \cdot 3}{3} + \frac{2}{3}) \div 12

$(\frac{4 \cdot 3}{3} + \frac{2}{3}) \div 12$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{4 \cdot 3 + 2}{3} \div 12

$\frac{4 \cdot 3 + 2}{3} \div 12$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

4

$4$ by

3

$3$ .

\frac{12 + 2}{3} \div 12

$\frac{12 + 2}{3} \div 12$

Step 1.2.4.2

Add

12

$12$ and

2

$2$ .

\frac{14}{3} \div 12

$\frac{14}{3} \div 12$

\frac{14}{3} \div 12

$\frac{14}{3} \div 12$

\frac{14}{3} \div 12

$\frac{14}{3} \div 12$

\frac{14}{3} \div 12

$\frac{14}{3} \div 12$

Step 2

Rewrite the division as a fraction.

\frac{\frac{14}{3}}{12}

$\frac{\frac{14}{3}}{12}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

\frac{14}{3} \cdot \frac{1}{12}

$\frac{14}{3} \cdot \frac{1}{12}$

Step 4

Cancel the common factor of

2

$2$ .

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Step 4.1

Factor

2

$2$ out of

14

$14$ .

\frac{2 (7)}{3} \cdot \frac{1}{12}

$\frac{2 (7)}{3} \cdot \frac{1}{12}$

Step 4.2

Factor

2

$2$ out of

12

$12$ .

\frac{2 \cdot 7}{3} \cdot \frac{1}{2 \cdot 6}

$\frac{2 \cdot 7}{3} \cdot \frac{1}{2 \cdot 6}$

Step 4.3

Cancel the common factor.

$\frac{2 \cdot 7}{3} \cdot \frac{1}{2 \cdot 6}$

Step 4.4

Rewrite the expression.

$\frac{7}{3} \cdot \frac{1}{6}$

Step 5

Multiply

$\frac{7}{3}$ by

$\frac{1}{6}$ .

$\frac{7}{3 \cdot 6}$

Step 6

Multiply

$3$ by

$6$ .

$\frac{7}{18}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{18}$

Decimal Form:

$0.3\overline{8}$