Find the Exact Value -|-7 3/5|

$- | - 7 \frac{3}{5} |$

Convert $7 \frac{3}{5}$ to an improper fraction.

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

$- | - (7 + \frac{3}{5}) |$

Add $7$ and $\frac{3}{5}$ .

To write $7$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- | - (7 \cdot \frac{5}{5} + \frac{3}{5}) |$

Combine $7$ and $\frac{5}{5}$ .

$- | - (\frac{7 \cdot 5}{5} + \frac{3}{5}) |$

Combine the numerators over the common denominator.

$- | - \frac{7 \cdot 5 + 3}{5} |$

Simplify the numerator.

Multiply $7$ by $5$ .

$- | - \frac{35 + 3}{5} |$

Add $35$ and $3$ .

$- | - \frac{38}{5} |$

$- \frac{38}{5}$ is approximately $- 7.6$ which is negative so negate $- \frac{38}{5}$ and remove the absolute value

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

$- (7 + \frac{3}{5})$

Add $7$ and $\frac{3}{5}$ .

To write $7$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- (7 \cdot \frac{5}{5} + \frac{3}{5})$

Combine $7$ and $\frac{5}{5}$ .

$- (\frac{7 \cdot 5}{5} + \frac{3}{5})$

Combine the numerators over the common denominator.

$- \frac{7 \cdot 5 + 3}{5}$

Simplify the numerator.

Multiply $7$ by $5$ .

$- \frac{35 + 3}{5}$

Add $35$ and $3$ .

$- \frac{38}{5}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{38}{5}$

Decimal Form:

$- 7.6$

Mixed Number Form:

$- 7 \frac{3}{5}$