Pre-Algebra Examples

$\frac{1}{2} \cdot \frac{2}{5} \div \frac{7}{10}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{2} \cdot \frac{2}{5} \frac{10}{7}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

$\frac{1}{2} \cdot \frac{2}{5} \frac{10}{7}$

Step 2.2

Rewrite the expression.

$\frac{1}{5} \cdot \frac{10}{7}$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Factor $5$ out of $10$ .

$\frac{1}{5} \cdot \frac{5 (2)}{7}$

Step 3.2

Cancel the common factor.

$\frac{1}{5} \cdot \frac{5 \cdot 2}{7}$

Step 3.3

Rewrite the expression.

$\frac{2}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{7}$

Decimal Form:

$0.\overline{285714}$