Basic Math Examples

0.164

$0.164$

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{164}{1000}

$0 \frac{164}{1000}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

0 \frac{164}{1000}

$0 \frac{164}{1000}$ 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{164}{1000}

$0 + \frac{164}{1000}$

Step 2.1.2

Add

0

$0$ and

\frac{164}{1000}

$\frac{164}{1000}$ .

\frac{164}{1000}

$\frac{164}{1000}$

\frac{164}{1000}

$\frac{164}{1000}$

Step 2.2

Cancel the common factor of

164

$164$ and

1000

$1000$ .

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Step 2.2.1

Factor

4

$4$ out of

164

$164$ .

\frac{4 (41)}{1000}

$\frac{4 (41)}{1000}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor

4

$4$ out of

1000

$1000$ .

\frac{4 \cdot 41}{4 \cdot 250}

$\frac{4 \cdot 41}{4 \cdot 250}$

Step 2.2.2.2

Cancel the common factor.

$\frac{4 \cdot 41}{4 \cdot 250}$

Step 2.2.2.3

Rewrite the expression.

$\frac{41}{250}$