Algebra Examples

0.8

$0.8$ as a fraction

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{8}{10}

$0 \frac{8}{10}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

0 \frac{8}{10}

$0 \frac{8}{10}$ 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{8}{10}

$0 + \frac{8}{10}$

Step 2.1.2

Add

0

$0$ and

\frac{8}{10}

$\frac{8}{10}$ .

\frac{8}{10}

$\frac{8}{10}$

\frac{8}{10}

$\frac{8}{10}$

Step 2.2

Cancel the common factor of

8

$8$ and

10

$10$ .

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Step 2.2.1

Factor

2

$2$ out of

8

$8$ .

\frac{2 (4)}{10}

$\frac{2 (4)}{10}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor

2

$2$ out of

10

$10$ .

\frac{2 \cdot 4}{2 \cdot 5}

$\frac{2 \cdot 4}{2 \cdot 5}$

Step 2.2.2.2

Cancel the common factor.

$\frac{2 \cdot 4}{2 \cdot 5}$

Step 2.2.2.3

Rewrite the expression.

$\frac{4}{5}$