Basic Math Examples

0.5

$0.5$

Step 1

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

1

$1$ number to the right of the decimal point, place the decimal number over

10^{1}

$10^{1}$

(10)

$(10)$ . Next, add the whole number to the left of the decimal.

0 \frac{5}{10}

$0 \frac{5}{10}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

0 \frac{5}{10}

$0 \frac{5}{10}$ 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{5}{10}

$0 + \frac{5}{10}$

Step 2.1.2

Add

0

$0$ and

\frac{5}{10}

$\frac{5}{10}$ .

\frac{5}{10}

$\frac{5}{10}$

\frac{5}{10}

$\frac{5}{10}$

Step 2.2

Cancel the common factor of

5

$5$ and

10

$10$ .

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Step 2.2.1

Factor

5

$5$ out of

5

$5$ .

\frac{5 (1)}{10}

$\frac{5 (1)}{10}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor

5

$5$ out of

10

$10$ .

\frac{5 \cdot 1}{5 \cdot 2}

$\frac{5 \cdot 1}{5 \cdot 2}$

Step 2.2.2.2

Cancel the common factor.

$\frac{5 \cdot 1}{5 \cdot 2}$

Step 2.2.2.3

Rewrite the expression.

$\frac{1}{2}$

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