Basic Math Examples

$\frac{12}{18}$

Step 1

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

$\frac{1}{\frac{12}{18}}$

Step 2

Simplify.

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Step 2.1

Cancel the common factor of $12$ and $18$ .

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Step 2.1.1

Factor $6$ out of $12$ .

$\frac{1}{\frac{6 (2)}{18}}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $6$ out of $18$ .

$\frac{1}{\frac{6 \cdot 2}{6 \cdot 3}}$

Step 2.1.2.2

Cancel the common factor.

$\frac{1}{\frac{6 \cdot 2}{6 \cdot 3}}$

Step 2.1.2.3

Rewrite the expression.

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

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

$1 (\frac{3}{2})$

Step 2.3

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

$\frac{3}{2}$