Basic Math Examples

- 1.73205

$- 1.73205$

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.

- 1 \frac{73205}{100000}

$- 1 \frac{73205}{100000}$

Step 2

Reduce the fractional part of the mixed number.

- 1 \frac{14641}{20000}

$- 1 \frac{14641}{20000}$

Step 3

Convert

1 \frac{14641}{20000}

$1 \frac{14641}{20000}$ to an improper fraction.

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Step 3.1

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

- (1 + \frac{14641}{20000})

$- (1 + \frac{14641}{20000})$

Step 3.2

Add

1

$1$ and

\frac{14641}{20000}

$\frac{14641}{20000}$ .

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Step 3.2.1

Write

1

$1$ as a fraction with a common denominator.

- (\frac{20000}{20000} + \frac{14641}{20000})

$- (\frac{20000}{20000} + \frac{14641}{20000})$

Step 3.2.2

Combine the numerators over the common denominator.

- \frac{20000 + 14641}{20000}

$- \frac{20000 + 14641}{20000}$

Step 3.2.3

Add

20000

$20000$ and

14641

$14641$ .

- \frac{34641}{20000}

$- \frac{34641}{20000}$

- \frac{34641}{20000}

$- \frac{34641}{20000}$

- \frac{34641}{20000}

$- \frac{34641}{20000}$