Basic Math Examples

$\frac{{(\frac{3}{11})}^{2}}{\frac{5}{6}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

${(\frac{3}{11})}^{2} \frac{6}{5}$

Step 2

Apply the product rule to $\frac{3}{11}$ .

$\frac{3^{2}}{11^{2}} \cdot \frac{6}{5}$

Step 3

Combine.

$\frac{3^{2} \cdot 6}{11^{2} \cdot 5}$

Step 4

Simplify the expression.

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Step 4.1

Raise $3$ to the power of $2$ .

$\frac{9 \cdot 6}{11^{2} \cdot 5}$

Step 4.2

Raise $11$ to the power of $2$ .

$\frac{9 \cdot 6}{121 \cdot 5}$

Step 4.3

Multiply $9$ by $6$ .

$\frac{54}{121 \cdot 5}$

Step 4.4

Multiply $121$ by $5$ .

$\frac{54}{605}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{54}{605}$

Decimal Form:

$0.08925619 \dots$