Evaluate (-21/110)÷(-3/11)

$- \frac{21}{110} \div (- \frac{3}{11})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{21}{110} (- \frac{11}{3})$

Step 2

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{21}{110}$ into the numerator.

$\frac{- 21}{110} (- \frac{11}{3})$

Move the leading negative in $- \frac{11}{3}$ into the numerator.

$\frac{- 21}{110} \cdot \frac{- 11}{3}$

Factor $3$ out of $- 21$ .

$\frac{3 (- 7)}{110} \cdot \frac{- 11}{3}$

Cancel the common factor.

$\frac{3 \cdot - 7}{110} \cdot \frac{- 11}{3}$

Rewrite the expression.

$\frac{- 7}{110} \cdot - 11$

Step 3

Cancel the common factor of $11$ .

Factor $11$ out of $110$ .

$\frac{- 7}{11 (10)} \cdot - 11$

Factor $11$ out of $- 11$ .

$\frac{- 7}{11 \cdot 10} \cdot (11 \cdot - 1)$

Cancel the common factor.

$\frac{- 7}{11 \cdot 10} \cdot (11 \cdot - 1)$

Rewrite the expression.

$\frac{- 7}{10} \cdot - 1$

Step 4

Combine $\frac{- 7}{10}$ and $- 1$ .

$\frac{- 7 \cdot - 1}{10}$

Step 5

Multiply $- 7$ by $- 1$ .

$\frac{7}{10}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{10}$

Decimal Form:

$0.7$