Pre-Algebra Examples

$- \frac{10}{21} \div \frac{20}{7}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{10}{21} \cdot \frac{7}{20}$

Step 2

Cancel the common factor of $10$ .

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Step 2.1

Move the leading negative in $- \frac{10}{21}$ into the numerator.

$\frac{- 10}{21} \cdot \frac{7}{20}$

Step 2.2

Factor $10$ out of $- 10$ .

$\frac{10 (- 1)}{21} \cdot \frac{7}{20}$

Step 2.3

Factor $10$ out of $20$ .

$\frac{10 \cdot - 1}{21} \cdot \frac{7}{10 \cdot 2}$

Step 2.4

Cancel the common factor.

$\frac{10 \cdot - 1}{21} \cdot \frac{7}{10 \cdot 2}$

Step 2.5

Rewrite the expression.

$\frac{- 1}{21} \cdot \frac{7}{2}$

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Factor $7$ out of $21$ .

$\frac{- 1}{7 (3)} \cdot \frac{7}{2}$

Step 3.2

Cancel the common factor.

$\frac{- 1}{7 \cdot 3} \cdot \frac{7}{2}$

Step 3.3

Rewrite the expression.

$\frac{- 1}{3} \cdot \frac{1}{2}$

Step 4

Multiply $\frac{- 1}{3}$ by $\frac{1}{2}$ .

$\frac{- 1}{3 \cdot 2}$

Step 5

Simplify the expression.

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Step 5.1

Multiply $3$ by $2$ .

$\frac{- 1}{6}$

Step 5.2

Move the negative in front of the fraction.

$- \frac{1}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{6}$

Decimal Form:

$- 0.1\overline{6}$