Basic Math Examples

0.081

$0.081$

Step 1

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

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

$10^{4}$

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

$0 \frac{810}{10000}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

$0 \frac{810}{10000}$ to an improper fraction.

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Step 2.1.1

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

$0 + \frac{810}{10000}$

Step 2.1.2

Add

$0$ and

$\frac{810}{10000}$ .

$\frac{810}{10000}$

Step 2.2

Cancel the common factor of

$810$ and

$10000$ .

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Step 2.2.1

Factor

$10$ out of

$810$ .

$\frac{10 (81)}{10000}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor

$10$ out of

$10000$ .

$\frac{10 \cdot 81}{10 \cdot 1000}$

Step 2.2.2.2

Cancel the common factor.

$\frac{10 \cdot 81}{10 \cdot 1000}$

Step 2.2.2.3

Rewrite the expression.

$\frac{81}{1000}$