Basic Math Examples

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $\frac{2}{3} \cdot 2$ .

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

Step 2.2

Factor $2$ out of $4$ .

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

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

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

Step 3

Combine $\frac{1}{3}$ and $2$ .

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

Step 4

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

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

Step 5

Simplify the expression.

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Step 5.1

Multiply $2$ by $3$ .

${(\frac{6}{3 \cdot 2})}^{2}$

Step 5.2

Multiply $3$ by $2$ .

${(\frac{6}{6})}^{2}$

Step 5.3

Divide $6$ by $6$ .

$1^{2}$

Step 5.4

One to any power is one.

$1$