Basic Math Examples

- 11.33

$- 11.33$

Step 1

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

2

$2$ numbers to the right of the decimal point, place the decimal number over

10^{2}

$10^{2}$

(100)

$(100)$ . Next, add the whole number to the left of the decimal.

- 11 \frac{33}{100}

$- 11 \frac{33}{100}$

Step 2

Convert

11 \frac{33}{100}

$11 \frac{33}{100}$ to an improper fraction.

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Step 2.1

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

- (11 + \frac{33}{100})

$- (11 + \frac{33}{100})$

Step 2.2

Add

11

$11$ and

\frac{33}{100}

$\frac{33}{100}$ .

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Step 2.2.1

To write

11

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

\frac{100}{100}

$\frac{100}{100}$ .

- (11 \cdot \frac{100}{100} + \frac{33}{100})

$- (11 \cdot \frac{100}{100} + \frac{33}{100})$

Step 2.2.2

Combine

11

$11$ and

\frac{100}{100}

$\frac{100}{100}$ .

- (\frac{11 \cdot 100}{100} + \frac{33}{100})

$- (\frac{11 \cdot 100}{100} + \frac{33}{100})$

Step 2.2.3

Combine the numerators over the common denominator.

- \frac{11 \cdot 100 + 33}{100}

$- \frac{11 \cdot 100 + 33}{100}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

11

$11$ by

100

$100$ .

- \frac{1100 + 33}{100}

$- \frac{1100 + 33}{100}$

Step 2.2.4.2

Add

1100

$1100$ and

33

$33$ .

- \frac{1133}{100}

$- \frac{1133}{100}$

- \frac{1133}{100}

$- \frac{1133}{100}$

- \frac{1133}{100}

$- \frac{1133}{100}$

- \frac{1133}{100}

$- \frac{1133}{100}$