Evaluate (32/10-72/6)

$(\frac{32}{10} - \frac{72}{6})$

Simplify each term.

Cancel the common factor of $32$ and $10$ .

Factor $2$ out of $32$ .

$\frac{2 (16)}{10} - \frac{72}{6}$

Cancel the common factors.

Factor $2$ out of $10$ .

$\frac{2 \cdot 16}{2 \cdot 5} - \frac{72}{6}$

Cancel the common factor.

$\frac{2 \cdot 16}{2 \cdot 5} - \frac{72}{6}$

Rewrite the expression.

$\frac{16}{5} - \frac{72}{6}$

Divide $72$ by $6$ .

$\frac{16}{5} - 1 \cdot 12$

Multiply $- 1$ by $12$ .

$\frac{16}{5} - 12$

To write $- 12$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{16}{5} - 12 \cdot \frac{5}{5}$

Combine $- 12$ and $\frac{5}{5}$ .

$\frac{16}{5} + \frac{- 12 \cdot 5}{5}$

Combine the numerators over the common denominator.

$\frac{16 - 12 \cdot 5}{5}$

Simplify the numerator.

Multiply $- 12$ by $5$ .

$\frac{16 - 60}{5}$

Subtract $60$ from $16$ .

$\frac{- 44}{5}$

Move the negative in front of the fraction.

$- \frac{44}{5}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{44}{5}$

Decimal Form:

$- 8.8$

Mixed Number Form:

$- 8 \frac{4}{5}$