Divide (-21/5)÷(-3/35)

$- \frac{21}{5} \div (- \frac{3}{35})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{21}{5} (- \frac{35}{3})$

Step 2

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{21}{5}$ into the numerator.

$\frac{- 21}{5} (- \frac{35}{3})$

Move the leading negative in $- \frac{35}{3}$ into the numerator.

$\frac{- 21}{5} \cdot \frac{- 35}{3}$

Factor $3$ out of $- 21$ .

$\frac{3 (- 7)}{5} \cdot \frac{- 35}{3}$

Cancel the common factor.

$\frac{3 \cdot - 7}{5} \cdot \frac{- 35}{3}$

Rewrite the expression.

$\frac{- 7}{5} \cdot - 35$

Step 3

Cancel the common factor of $5$ .

Factor $5$ out of $- 35$ .

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

Cancel the common factor.

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

Rewrite the expression.

$- 7 \cdot - 7$

Step 4

Multiply $- 7$ by $- 7$ .

$49$