Basic Math Examples

- 0.09375

$- 0.09375$

Step 1

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

5

$5$ numbers to the right of the decimal point, place the decimal number over

10^{5}

$10^{5}$

(100000)

$(100000)$ . Next, add the whole number to the left of the decimal.

- 0 \frac{9375}{100000}

$- 0 \frac{9375}{100000}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

0 \frac{9375}{100000}

$0 \frac{9375}{100000}$ 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{9375}{100000})

$- (0 + \frac{9375}{100000})$

Step 2.1.2

Add

0

$0$ and

\frac{9375}{100000}

$\frac{9375}{100000}$ .

- \frac{9375}{100000}

$- \frac{9375}{100000}$

- \frac{9375}{100000}

$- \frac{9375}{100000}$

Step 2.2

Cancel the common factor of

9375

$9375$ and

100000

$100000$ .

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Step 2.2.1

Factor

3125

$3125$ out of

9375

$9375$ .

- \frac{3125 (3)}{100000}

$- \frac{3125 (3)}{100000}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor

3125

$3125$ out of

100000

$100000$ .

- \frac{3125 \cdot 3}{3125 \cdot 32}

$- \frac{3125 \cdot 3}{3125 \cdot 32}$

Step 2.2.2.2

Cancel the common factor.

$- \frac{3125 \cdot 3}{3125 \cdot 32}$

Step 2.2.2.3

Rewrite the expression.

$- \frac{3}{32}$