Basic Math Examples

- 7.85

$- 7.85$

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.

- 7 \frac{85}{100}

$- 7 \frac{85}{100}$

Step 2

Reduce the fractional part of the mixed number.

- 7 \frac{17}{20}

$- 7 \frac{17}{20}$

Step 3

Convert

7 \frac{17}{20}

$7 \frac{17}{20}$ to an improper fraction.

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Step 3.1

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

- (7 + \frac{17}{20})

$- (7 + \frac{17}{20})$

Step 3.2

Add

7

$7$ and

\frac{17}{20}

$\frac{17}{20}$ .

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Step 3.2.1

To write

7

$7$ as a fraction with a common denominator, multiply by

\frac{20}{20}

$\frac{20}{20}$ .

- (7 \cdot \frac{20}{20} + \frac{17}{20})

$- (7 \cdot \frac{20}{20} + \frac{17}{20})$

Step 3.2.2

Combine

7

$7$ and

\frac{20}{20}

$\frac{20}{20}$ .

- (\frac{7 \cdot 20}{20} + \frac{17}{20})

$- (\frac{7 \cdot 20}{20} + \frac{17}{20})$

Step 3.2.3

Combine the numerators over the common denominator.

- \frac{7 \cdot 20 + 17}{20}

$- \frac{7 \cdot 20 + 17}{20}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

7

$7$ by

20

$20$ .

- \frac{140 + 17}{20}

$- \frac{140 + 17}{20}$

Step 3.2.4.2

Add

140

$140$ and

17

$17$ .

- \frac{157}{20}

$- \frac{157}{20}$

- \frac{157}{20}

$- \frac{157}{20}$

- \frac{157}{20}

$- \frac{157}{20}$

- \frac{157}{20}

$- \frac{157}{20}$