Algebra Examples

$0.48$

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.

$0 \frac{48}{100}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

$0 \frac{48}{100}$ to an improper fraction.

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Step 2.1.1

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

$0 + \frac{48}{100}$

Step 2.1.2

Add

$0$ and

$\frac{48}{100}$ .

$\frac{48}{100}$

Step 2.2

Cancel the common factor of

$48$ and

$100$ .

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Step 2.2.1

Factor

$4$ out of

$48$ .

$\frac{4 (12)}{100}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor

$4$ out of

$100$ .

$\frac{4 \cdot 12}{4 \cdot 25}$

Step 2.2.2.2

Cancel the common factor.

$\frac{4 \cdot 12}{4 \cdot 25}$

Step 2.2.2.3

Rewrite the expression.

$\frac{12}{25}$