Basic Math Examples

${(\frac{\frac{3}{5}}{\frac{6}{5}})}^{2}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

${(\frac{3}{5} \cdot \frac{5}{6})}^{2}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $6$ .

${(\frac{3}{5} \cdot \frac{5}{3 (2)})}^{2}$

Step 2.2

Cancel the common factor.

${(\frac{3}{5} \cdot \frac{5}{3 \cdot 2})}^{2}$

Step 2.3

Rewrite the expression.

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

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

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

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

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

Step 4

Simplify the expression.

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Step 4.1

Apply the product rule to $\frac{1}{2}$ .

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

Step 4.2

One to any power is one.

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

Step 4.3

Raise $2$ to the power of $2$ .

$\frac{1}{4}$

$\frac{1}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$