Evaluate (|2-9||5-7|)/(10-15)

$\frac{| 2 - 9 | | 5 - 7 |}{10 - 15}$

To multiply absolute values, multiply the terms inside each absolute value.

$\frac{| (2 - 9) (5 - 7) |}{10 - 15}$

Subtract $15$ from $10$ .

$\frac{| (2 - 9) (5 - 7) |}{- 5}$

Simplify the numerator.

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Subtract $9$ from $2$ .

$\frac{| - 7 (5 - 7) |}{- 5}$

Subtract $7$ from $5$ .

$\frac{| - 7 \cdot - 2 |}{- 5}$

Multiply $- 7$ by $- 2$ .

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

The absolute value is the distance between a number and zero. The distance between $0$ and $14$ is $14$ .

$\frac{14}{- 5}$

Move the negative in front of the fraction.

$- \frac{14}{5}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{14}{5}$

Decimal Form:

$- 2.8$

Mixed Number Form:

$- 2 \frac{4}{5}$

Evaluate (|2-9||5-7|)/(10-15)

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