Divide (-15/8)÷(3/14)

$- \frac{15}{8} \div \frac{3}{14}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{15}{8} \cdot \frac{14}{3}$

Step 2

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{15}{8}$ into the numerator.

$\frac{- 15}{8} \cdot \frac{14}{3}$

Factor $3$ out of $- 15$ .

$\frac{3 (- 5)}{8} \cdot \frac{14}{3}$

Cancel the common factor.

$\frac{3 \cdot - 5}{8} \cdot \frac{14}{3}$

Rewrite the expression.

$\frac{- 5}{8} \cdot 14$

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $8$ .

$\frac{- 5}{2 (4)} \cdot 14$

Factor $2$ out of $14$ .

$\frac{- 5}{2 \cdot 4} \cdot (2 \cdot 7)$

Cancel the common factor.

$\frac{- 5}{2 \cdot 4} \cdot (2 \cdot 7)$

Rewrite the expression.

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

Step 4

Combine $\frac{- 5}{4}$ and $7$ .

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

Step 5

Multiply $- 5$ by $7$ .

$\frac{- 35}{4}$

Step 6

Move the negative in front of the fraction.

$- \frac{35}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{35}{4}$

Decimal Form:

$- 8.75$

Mixed Number Form:

$- 8 \frac{3}{4}$