Basic Math Examples

$- 0.65$

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.

$- 0 \frac{65}{100}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

$0 \frac{65}{100}$ to an improper fraction.

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Step 2.1.1

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

$- (0 + \frac{65}{100})$

Step 2.1.2

Add

$0$ and

$\frac{65}{100}$ .

$- \frac{65}{100}$

Step 2.2

Cancel the common factor of

$65$ and

$100$ .

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Step 2.2.1

Factor

$5$ out of

$65$ .

$- \frac{5 (13)}{100}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor

$5$ out of

$100$ .

$- \frac{5 \cdot 13}{5 \cdot 20}$

Step 2.2.2.2

Cancel the common factor.

$- \frac{5 \cdot 13}{5 \cdot 20}$

Step 2.2.2.3

Rewrite the expression.

$- \frac{13}{20}$