Algebra Examples

$\frac{3}{20} \div (- \frac{21}{16})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{20} (- \frac{16}{21})$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

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

$\frac{3}{20} \cdot \frac{- 16}{21}$

Step 2.2

Factor $3$ out of $21$ .

$\frac{3}{20} \cdot \frac{- 16}{3 (7)}$

Step 2.3

Cancel the common factor.

$\frac{3}{20} \cdot \frac{- 16}{3 \cdot 7}$

Step 2.4

Rewrite the expression.

$\frac{1}{20} \cdot \frac{- 16}{7}$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Factor $4$ out of $20$ .

$\frac{1}{4 (5)} \cdot \frac{- 16}{7}$

Step 3.2

Factor $4$ out of $- 16$ .

$\frac{1}{4 \cdot 5} \cdot \frac{4 \cdot - 4}{7}$

Step 3.3

Cancel the common factor.

$\frac{1}{4 \cdot 5} \cdot \frac{4 \cdot - 4}{7}$

Step 3.4

Rewrite the expression.

$\frac{1}{5} \cdot \frac{- 4}{7}$

Step 4

Multiply $\frac{1}{5}$ by $\frac{- 4}{7}$ .

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

Step 5

Multiply $5$ by $7$ .

$\frac{- 4}{35}$

Step 6

Move the negative in front of the fraction.

$- \frac{4}{35}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{4}{35}$

Decimal Form:

$- 0.1\overline{142857}$