Pre-Algebra Examples

0.02

$0.02$

Step 1

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

3

$3$ numbers to the right of the decimal point, place the decimal number over

10^{3}

$10^{3}$

(1000)

$(1000)$ . Next, add the whole number to the left of the decimal.

0 \frac{20}{1000}

$0 \frac{20}{1000}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

0 \frac{20}{1000}

$0 \frac{20}{1000}$ 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{20}{1000}

$0 + \frac{20}{1000}$

Step 2.1.2

Add

0

$0$ and

\frac{20}{1000}

$\frac{20}{1000}$ .

\frac{20}{1000}

$\frac{20}{1000}$

\frac{20}{1000}

$\frac{20}{1000}$

Step 2.2

Cancel the common factor of

20

$20$ and

1000

$1000$ .

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Step 2.2.1

Factor

20

$20$ out of

20

$20$ .

\frac{20 (1)}{1000}

$\frac{20 (1)}{1000}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor

20

$20$ out of

1000

$1000$ .

\frac{20 \cdot 1}{20 \cdot 50}

$\frac{20 \cdot 1}{20 \cdot 50}$

Step 2.2.2.2

Cancel the common factor.

$\frac{20 \cdot 1}{20 \cdot 50}$

Step 2.2.2.3

Rewrite the expression.

$\frac{1}{50}$

$0.020$

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