Basic Math Examples

$| - 14 \frac{3}{5} - 2 \frac{2}{5} |$

Step 1

Convert $14 \frac{3}{5}$ to an improper fraction.

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Step 1.1

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

$| - (14 + \frac{3}{5}) - 2 \frac{2}{5} |$

Step 1.2

Add $14$ and $\frac{3}{5}$ .

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Step 1.2.1

To write $14$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$| - (14 \cdot \frac{5}{5} + \frac{3}{5}) - 2 \frac{2}{5} |$

Step 1.2.2

Combine $14$ and $\frac{5}{5}$ .

$| - (\frac{14 \cdot 5}{5} + \frac{3}{5}) - 2 \frac{2}{5} |$

Step 1.2.3

Combine the numerators over the common denominator.

$| - \frac{14 \cdot 5 + 3}{5} - 2 \frac{2}{5} |$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $14$ by $5$ .

$| - \frac{70 + 3}{5} - 2 \frac{2}{5} |$

Step 1.2.4.2

Add $70$ and $3$ .

$| - \frac{73}{5} - 2 \frac{2}{5} |$

Step 2

Convert $2 \frac{2}{5}$ to an improper fraction.

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Step 2.1

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

$| - \frac{73}{5} - (2 + \frac{2}{5}) |$

Step 2.2

Add $2$ and $\frac{2}{5}$ .

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Step 2.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$| - \frac{73}{5} - (2 \cdot \frac{5}{5} + \frac{2}{5}) |$

Step 2.2.2

Combine $2$ and $\frac{5}{5}$ .

$| - \frac{73}{5} - (\frac{2 \cdot 5}{5} + \frac{2}{5}) |$

Step 2.2.3

Combine the numerators over the common denominator.

$| - \frac{73}{5} - \frac{2 \cdot 5 + 2}{5} |$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply $2$ by $5$ .

$| - \frac{73}{5} - \frac{10 + 2}{5} |$

Step 2.2.4.2

Add $10$ and $2$ .

$| - \frac{73}{5} - \frac{12}{5} |$

Step 3

Combine the numerators over the common denominator.

$| \frac{- 73 - 12}{5} |$

Step 4

Simplify the expression.

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Step 4.1

Subtract $12$ from $- 73$ .

$| \frac{- 85}{5} |$

Step 4.2

Divide $- 85$ by $5$ .

$| - 17 |$

Step 5

The absolute value is the distance between a number and zero. The distance between $- 17$ and $0$ is $17$ .

$17$