Basic Math Examples

- 9.36

$- 9.36$

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.

- 9 \frac{36}{100}

$- 9 \frac{36}{100}$

Step 2

Reduce the fractional part of the mixed number.

- 9 \frac{9}{25}

$- 9 \frac{9}{25}$

Step 3

Convert

9 \frac{9}{25}

$9 \frac{9}{25}$ to an improper fraction.

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Step 3.1

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

- (9 + \frac{9}{25})

$- (9 + \frac{9}{25})$

Step 3.2

Add

9

$9$ and

\frac{9}{25}

$\frac{9}{25}$ .

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Step 3.2.1

To write

9

$9$ as a fraction with a common denominator, multiply by

\frac{25}{25}

$\frac{25}{25}$ .

- (9 \cdot \frac{25}{25} + \frac{9}{25})

$- (9 \cdot \frac{25}{25} + \frac{9}{25})$

Step 3.2.2

Combine

9

$9$ and

\frac{25}{25}

$\frac{25}{25}$ .

- (\frac{9 \cdot 25}{25} + \frac{9}{25})

$- (\frac{9 \cdot 25}{25} + \frac{9}{25})$

Step 3.2.3

Combine the numerators over the common denominator.

- \frac{9 \cdot 25 + 9}{25}

$- \frac{9 \cdot 25 + 9}{25}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

9

$9$ by

25

$25$ .

- \frac{225 + 9}{25}

$- \frac{225 + 9}{25}$

Step 3.2.4.2

Add

225

$225$ and

9

$9$ .

- \frac{234}{25}

$- \frac{234}{25}$

- \frac{234}{25}

$- \frac{234}{25}$

- \frac{234}{25}

$- \frac{234}{25}$

- \frac{234}{25}

$- \frac{234}{25}$