Divide (3/20)÷(-21/16)

$\frac{3}{20} \div (- \frac{21}{16})$

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{20} (- \frac{16}{21})$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{16}{21}$ into the numerator.

$\frac{3}{20} \cdot \frac{- 16}{21}$

Factor $3$ out of $21$ .

$\frac{3}{20} \cdot \frac{- 16}{3 (7)}$

Cancel the common factor.

$\frac{3}{20} \cdot \frac{- 16}{3 \cdot 7}$

Rewrite the expression.

$\frac{1}{20} \cdot \frac{- 16}{7}$

Cancel the common factor of $4$ .

Factor $4$ out of $20$ .

$\frac{1}{4 (5)} \cdot \frac{- 16}{7}$

Factor $4$ out of $- 16$ .

$\frac{1}{4 \cdot 5} \cdot \frac{4 \cdot - 4}{7}$

Cancel the common factor.

$\frac{1}{4 \cdot 5} \cdot \frac{4 \cdot - 4}{7}$

Rewrite the expression.

$\frac{1}{5} \cdot \frac{- 4}{7}$

Multiply $\frac{1}{5}$ by $\frac{- 4}{7}$ .

$\frac{- 4}{5 \cdot 7}$

Multiply $5$ by $7$ .

$\frac{- 4}{35}$

Move the negative in front of the fraction.

$- \frac{4}{35}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{4}{35}$

Decimal Form:

$- 0.1\overline{142857}$