Algebra Examples

0.03125

$0.03125$

Step 1

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

5

$5$ numbers to the right of the decimal point, place the decimal number over

10^{5}

$10^{5}$

(100000)

$(100000)$ . Next, add the whole number to the left of the decimal.

0 \frac{3125}{100000}

$0 \frac{3125}{100000}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

0 \frac{3125}{100000}

$0 \frac{3125}{100000}$ 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{3125}{100000}

$0 + \frac{3125}{100000}$

Step 2.1.2

Add

0

$0$ and

\frac{3125}{100000}

$\frac{3125}{100000}$ .

\frac{3125}{100000}

$\frac{3125}{100000}$

\frac{3125}{100000}

$\frac{3125}{100000}$

Step 2.2

Cancel the common factor of

3125

$3125$ and

100000

$100000$ .

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Step 2.2.1

Factor

3125

$3125$ out of

3125

$3125$ .

\frac{3125 (1)}{100000}

$\frac{3125 (1)}{100000}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor

3125

$3125$ out of

100000

$100000$ .

\frac{3125 \cdot 1}{3125 \cdot 32}

$\frac{3125 \cdot 1}{3125 \cdot 32}$

Step 2.2.2.2

Cancel the common factor.

$\frac{3125 \cdot 1}{3125 \cdot 32}$

Step 2.2.2.3

Rewrite the expression.

$\frac{1}{32}$