Basic Math Examples

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

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

Step 1

Convert

1 \frac{2}{3}

$1 \frac{2}{3}$ to an improper fraction.

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Step 1.1

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

(1 + \frac{2}{3}) \div \frac{20}{1}

$(1 + \frac{2}{3}) \div \frac{20}{1}$

Step 1.2

Add

1

$1$ and

\frac{2}{3}

$\frac{2}{3}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

(\frac{3}{3} + \frac{2}{3}) \div \frac{20}{1}

$(\frac{3}{3} + \frac{2}{3}) \div \frac{20}{1}$

Step 1.2.2

Combine the numerators over the common denominator.

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

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

Step 1.2.3

Add

3

$3$ and

2

$2$ .

\frac{5}{3} \div \frac{20}{1}

$\frac{5}{3} \div \frac{20}{1}$

\frac{5}{3} \div \frac{20}{1}

$\frac{5}{3} \div \frac{20}{1}$

\frac{5}{3} \div \frac{20}{1}

$\frac{5}{3} \div \frac{20}{1}$

Step 2

To divide by a fraction, multiply by its reciprocal.

\frac{5}{3} \cdot \frac{1}{20}

$\frac{5}{3} \cdot \frac{1}{20}$

Step 3

Cancel the common factor of

5

$5$ .

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Step 3.1

Factor

5

$5$ out of

20

$20$ .

\frac{5}{3} \cdot \frac{1}{5 (4)}

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

Step 3.2

Cancel the common factor.

$\frac{5}{3} \cdot \frac{1}{5 \cdot 4}$

Step 3.3

Rewrite the expression.

$\frac{1}{3} \cdot \frac{1}{4}$

Step 4

Multiply

$\frac{1}{3}$ by

$\frac{1}{4}$ .

$\frac{1}{3 \cdot 4}$

Step 5

Multiply

$3$ by

$4$ .

$\frac{1}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{12}$

Decimal Form:

$0.08\overline{3}$