Algebra Examples

$- \frac{21}{2} \div (- \frac{3}{14})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{21}{2} (- \frac{14}{3})$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Move the leading negative in $- \frac{21}{2}$ into the numerator.

$\frac{- 21}{2} (- \frac{14}{3})$

Step 2.2

Move the leading negative in $- \frac{14}{3}$ into the numerator.

$\frac{- 21}{2} \cdot \frac{- 14}{3}$

Step 2.3

Factor $3$ out of $- 21$ .

$\frac{3 (- 7)}{2} \cdot \frac{- 14}{3}$

Step 2.4

Cancel the common factor.

$\frac{3 \cdot - 7}{2} \cdot \frac{- 14}{3}$

Step 2.5

Rewrite the expression.

$\frac{- 7}{2} \cdot - 14$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $- 14$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$- 7 \cdot - 7$

Step 4

Multiply $- 7$ by $- 7$ .

$49$