Pre-Algebra Examples

$\frac{5}{10}$

Step 1

To find the reciprocal, divide $1$ by the number given.

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

Step 2

Simplify.

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Step 2.1

Cancel the common factor of $5$ and $10$ .

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Step 2.1.1

Factor $5$ out of $5$ .

$\frac{1}{\frac{5 (1)}{10}}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $5$ out of $10$ .

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

Step 2.1.2.2

Cancel the common factor.

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

Step 2.1.2.3

Rewrite the expression.

$\frac{1}{\frac{1}{2}}$

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

$1 \cdot 2$

Step 2.3

Multiply $2$ by $1$ .

$2$