Pre-Algebra Examples

${(\frac{6}{7} - \frac{11}{14})}^{2}$

Step 1

To write $\frac{6}{7}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

${(\frac{6}{7} \cdot \frac{2}{2} - \frac{11}{14})}^{2}$

Step 2

Write each expression with a common denominator of $14$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{6}{7}$ by $\frac{2}{2}$ .

${(\frac{6 \cdot 2}{7 \cdot 2} - \frac{11}{14})}^{2}$

Step 2.2

Multiply $7$ by $2$ .

${(\frac{6 \cdot 2}{14} - \frac{11}{14})}^{2}$

Step 3

Combine the numerators over the common denominator.

${(\frac{6 \cdot 2 - 11}{14})}^{2}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $6$ by $2$ .

${(\frac{12 - 11}{14})}^{2}$

Step 4.2

Subtract $11$ from $12$ .

${(\frac{1}{14})}^{2}$

Step 5

Apply the product rule to $\frac{1}{14}$ .

$\frac{1^{2}}{14^{2}}$

Step 6

One to any power is one.

$\frac{1}{14^{2}}$

Step 7

Raise $14$ to the power of $2$ .

$\frac{1}{196}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{196}$

Decimal Form:

$0.00510204 \dots$