Basic Math Examples

\frac{1}{13} \cdot 1 \frac{1}{14}

$\frac{1}{13} \cdot 1 \frac{1}{14}$

Step 1

Convert

1 \frac{1}{14}

$1 \frac{1}{14}$ to an improper fraction.

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Step 1.1

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

\frac{1}{13} \cdot (1 + \frac{1}{14})

$\frac{1}{13} \cdot (1 + \frac{1}{14})$

Step 1.2

Add

1

$1$ and

\frac{1}{14}

$\frac{1}{14}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

\frac{1}{13} \cdot (\frac{14}{14} + \frac{1}{14})

$\frac{1}{13} \cdot (\frac{14}{14} + \frac{1}{14})$

Step 1.2.2

Combine the numerators over the common denominator.

\frac{1}{13} \cdot \frac{14 + 1}{14}

$\frac{1}{13} \cdot \frac{14 + 1}{14}$

Step 1.2.3

Add

14

$14$ and

1

$1$ .

\frac{1}{13} \cdot \frac{15}{14}

$\frac{1}{13} \cdot \frac{15}{14}$

\frac{1}{13} \cdot \frac{15}{14}

$\frac{1}{13} \cdot \frac{15}{14}$

\frac{1}{13} \cdot \frac{15}{14}

$\frac{1}{13} \cdot \frac{15}{14}$

Step 2

Multiply

\frac{1}{13} \cdot \frac{15}{14}

$\frac{1}{13} \cdot \frac{15}{14}$ .

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Step 2.1

Multiply

\frac{1}{13}

$\frac{1}{13}$ by

\frac{15}{14}

$\frac{15}{14}$ .

\frac{15}{13 \cdot 14}

$\frac{15}{13 \cdot 14}$

Step 2.2

Multiply

13

$13$ by

14

$14$ .

\frac{15}{182}

$\frac{15}{182}$

\frac{15}{182}

$\frac{15}{182}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{15}{182}

$\frac{15}{182}$

Decimal Form:

0.0 ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 824175

$0.0\overline{824175}$