Basic Math Examples

$- 21.5$

Step 1

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

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

$10^{1}$

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

$- 21 \frac{5}{10}$

Step 2

Reduce the fractional part of the mixed number.

$- 21 \frac{1}{2}$

Step 3

Convert

$21 \frac{1}{2}$ to an improper fraction.

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Step 3.1

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

$- (21 + \frac{1}{2})$

Step 3.2

Add

$21$ and

$\frac{1}{2}$ .

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Step 3.2.1

To write

$21$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$- (21 \cdot \frac{2}{2} + \frac{1}{2})$

Step 3.2.2

Combine

$21$ and

$\frac{2}{2}$ .

$- (\frac{21 \cdot 2}{2} + \frac{1}{2})$

Step 3.2.3

Combine the numerators over the common denominator.

$- \frac{21 \cdot 2 + 1}{2}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

$21$ by

$2$ .

$- \frac{42 + 1}{2}$

Step 3.2.4.2

Add

$42$ and

$1$ .

$- \frac{43}{2}$

$- 21.5$

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