Algebra Examples

$0.3$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are $2$ numbers to the right of the decimal point, place the decimal number over $10^{2}$ $(100)$ . Next, add the whole number to the left of the decimal.

$0 \frac{30}{100}$

Step 2

Reduce the fraction.

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Step 2.1

Convert $0 \frac{30}{100}$ to an improper fraction.

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Step 2.1.1

A mixed number is an addition of its whole and fractional parts.

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

Step 2.1.2

Add $0$ and $\frac{30}{100}$ .

$\frac{30}{100}$

Step 2.2

Cancel the common factor of $30$ and $100$ .

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Step 2.2.1

Factor $10$ out of $30$ .

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

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $10$ out of $100$ .

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

Step 2.2.2.2

Cancel the common factor.

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

Step 2.2.2.3

Rewrite the expression.

$\frac{3}{10}$