Basic Math Examples

- 11.8

$- 11.8$

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.

- 11 \frac{8}{10}

$- 11 \frac{8}{10}$

Step 2

Reduce the fractional part of the mixed number.

- 11 \frac{4}{5}

$- 11 \frac{4}{5}$

Step 3

Convert

11 \frac{4}{5}

$11 \frac{4}{5}$ to an improper fraction.

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Step 3.1

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

- (11 + \frac{4}{5})

$- (11 + \frac{4}{5})$

Step 3.2

Add

11

$11$ and

\frac{4}{5}

$\frac{4}{5}$ .

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Step 3.2.1

To write

11

$11$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

- (11 \cdot \frac{5}{5} + \frac{4}{5})

$- (11 \cdot \frac{5}{5} + \frac{4}{5})$

Step 3.2.2

Combine

11

$11$ and

\frac{5}{5}

$\frac{5}{5}$ .

- (\frac{11 \cdot 5}{5} + \frac{4}{5})

$- (\frac{11 \cdot 5}{5} + \frac{4}{5})$

Step 3.2.3

Combine the numerators over the common denominator.

- \frac{11 \cdot 5 + 4}{5}

$- \frac{11 \cdot 5 + 4}{5}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

11

$11$ by

5

$5$ .

- \frac{55 + 4}{5}

$- \frac{55 + 4}{5}$

Step 3.2.4.2

Add

55

$55$ and

4

$4$ .

- \frac{59}{5}

$- \frac{59}{5}$

- \frac{59}{5}

$- \frac{59}{5}$

- \frac{59}{5}

$- \frac{59}{5}$

- \frac{59}{5}

$- \frac{59}{5}$