Basic Math Examples

0.0005

$0.0005$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are

4

$4$ numbers to the right of the decimal point, place the decimal number over

10^{4}

$10^{4}$

(10000)

$(10000)$ . Next, add the whole number to the left of the decimal.

0 \frac{5}{10000}

$0 \frac{5}{10000}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

0 \frac{5}{10000}

$0 \frac{5}{10000}$ to an improper fraction.

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Step 2.1.1

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

0 + \frac{5}{10000}

$0 + \frac{5}{10000}$

Step 2.1.2

Add

0

$0$ and

\frac{5}{10000}

$\frac{5}{10000}$ .

\frac{5}{10000}

$\frac{5}{10000}$

\frac{5}{10000}

$\frac{5}{10000}$

Step 2.2

Cancel the common factor of

5

$5$ and

10000

$10000$ .

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Step 2.2.1

Factor

5

$5$ out of

5

$5$ .

\frac{5 (1)}{10000}

$\frac{5 (1)}{10000}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor

5

$5$ out of

10000

$10000$ .

\frac{5 \cdot 1}{5 \cdot 2000}

$\frac{5 \cdot 1}{5 \cdot 2000}$

Step 2.2.2.2

Cancel the common factor.

$\frac{5 \cdot 1}{5 \cdot 2000}$

Step 2.2.2.3

Rewrite the expression.

$\frac{1}{2000}$