Basic Math Examples

$\frac{3}{\frac{4}{\frac{2}{3}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$3 \frac{\frac{2}{3}}{4}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$3 (\frac{2}{3} \cdot \frac{1}{4})$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $4$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

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

Step 4

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

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

Step 5

Multiply $3$ by $2$ .

$3 (\frac{1}{6})$

Step 6

Cancel the common factor of $3$ .

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Step 6.1

Factor $3$ out of $6$ .

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

Step 6.2

Cancel the common factor.

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

Step 6.3

Rewrite the expression.

$\frac{1}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$