Algebra Examples

0.22

$0.22$

Step 1

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

2

$2$ numbers to the right of the decimal point, place the decimal number over

10^{2}

$10^{2}$

(100)

$(100)$ . Next, add the whole number to the left of the decimal.

0 \frac{22}{100}

$0 \frac{22}{100}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

0 \frac{22}{100}

$0 \frac{22}{100}$ 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{22}{100}

$0 + \frac{22}{100}$

Step 2.1.2

Add

0

$0$ and

\frac{22}{100}

$\frac{22}{100}$ .

\frac{22}{100}

$\frac{22}{100}$

\frac{22}{100}

$\frac{22}{100}$

Step 2.2

Cancel the common factor of

22

$22$ and

100

$100$ .

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Step 2.2.1

Factor

2

$2$ out of

22

$22$ .

\frac{2 (11)}{100}

$\frac{2 (11)}{100}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor

2

$2$ out of

100

$100$ .

\frac{2 \cdot 11}{2 \cdot 50}

$\frac{2 \cdot 11}{2 \cdot 50}$

Step 2.2.2.2

Cancel the common factor.

$\frac{2 \cdot 11}{2 \cdot 50}$

Step 2.2.2.3

Rewrite the expression.

$\frac{11}{50}$

$0.22$

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