Algebra Examples

0.3

$0.3$

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{30}{100}

$0 \frac{30}{100}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

0 \frac{30}{100}

$0 \frac{30}{100}$ 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{30}{100}

$0 + \frac{30}{100}$

Step 2.1.2

Add

0

$0$ and

\frac{30}{100}

$\frac{30}{100}$ .

\frac{30}{100}

$\frac{30}{100}$

\frac{30}{100}

$\frac{30}{100}$

Step 2.2

Cancel the common factor of

30

$30$ and

100

$100$ .

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Step 2.2.1

Factor

10

$10$ out of

30

$30$ .

\frac{10 (3)}{100}

$\frac{10 (3)}{100}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor

10

$10$ out of

100

$100$ .

\frac{10 \cdot 3}{10 \cdot 10}

$\frac{10 \cdot 3}{10 \cdot 10}$

Step 2.2.2.2

Cancel the common factor.

\frac{10 \cdot 3}{10 \cdot 10}

$\frac{10 \cdot 3}{10 \cdot 10}$

Step 2.2.2.3

Rewrite the expression.

\frac{3}{10}

$\frac{3}{10}$

\frac{3}{10}

$\frac{3}{10}$

\frac{3}{10}

$\frac{3}{10}$

\frac{3}{10}

$\frac{3}{10}$