Divide (-16/21)÷(112/-19)

$- \frac{16}{21} \div \frac{112}{- 19}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{16}{21} \cdot \frac{- 19}{112}$

Step 2

Cancel the common factor of $16$ .

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

$\frac{- 16}{21} \cdot \frac{- 19}{112}$

Factor $16$ out of $- 16$ .

$\frac{16 (- 1)}{21} \cdot \frac{- 19}{112}$

Factor $16$ out of $112$ .

$\frac{16 \cdot - 1}{21} \cdot \frac{- 19}{16 \cdot 7}$

Cancel the common factor.

$\frac{16 \cdot - 1}{21} \cdot \frac{- 19}{16 \cdot 7}$

Rewrite the expression.

$\frac{- 1}{21} \cdot \frac{- 19}{7}$

Step 3

Multiply $\frac{- 1}{21}$ by $\frac{- 19}{7}$ .

$\frac{- - 19}{21 \cdot 7}$

Step 4

Multiply $- 1$ by $- 19$ .

$\frac{19}{21 \cdot 7}$

Step 5

Multiply $21$ by $7$ .

$\frac{19}{147}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{19}{147}$

Decimal Form:

$0.12925170 \dots$