Divide (-3/20)÷(21/16)

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{3}{20}$ into the numerator.

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

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{20} \cdot \frac{16}{21}$

Factor $3$ out of $21$ .

$\frac{3 \cdot - 1}{20} \cdot \frac{16}{3 \cdot 7}$

Cancel the common factor.

$\frac{3 \cdot - 1}{20} \cdot \frac{16}{3 \cdot 7}$

Rewrite the expression.

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

Step 3

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.

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

Step 4

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

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

Step 5

Multiply $- 1$ by $4$ .

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

Step 6

Multiply $5$ by $7$ .

$\frac{- 4}{35}$

Step 7

Move the negative in front of the fraction.

$- \frac{4}{35}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{4}{35}$

Decimal Form:

$- 0.1\overline{142857}$