Pre-Algebra Examples

$- \frac{16}{3} \div (- \frac{3}{12})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{16}{3} (- \frac{12}{3})$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Move the leading negative in $- \frac{16}{3}$ into the numerator.

$\frac{- 16}{3} (- \frac{12}{3})$

Step 2.2

Move the leading negative in $- \frac{12}{3}$ into the numerator.

$\frac{- 16}{3} \cdot \frac{- 12}{3}$

Step 2.3

Factor $3$ out of $- 12$ .

$\frac{- 16}{3} \cdot \frac{3 (- 4)}{3}$

Step 2.4

Cancel the common factor.

$\frac{- 16}{3} \cdot \frac{3 \cdot - 4}{3}$

Step 2.5

Rewrite the expression.

$- 16 (\frac{- 4}{3})$

Step 3

Combine $- 16$ and $\frac{- 4}{3}$ .

$\frac{- 16 \cdot - 4}{3}$

Step 4

Multiply $- 16$ by $- 4$ .

$\frac{64}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{64}{3}$

Decimal Form:

$21.\overline{3}$

Mixed Number Form:

$21 \frac{1}{3}$