Evaluate 5/6-7/9(1/2)^2

$\frac{5}{6} - \frac{7}{9} {(\frac{1}{2})}^{2}$

Simplify each term.

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

$\frac{5}{6} - \frac{7}{9} \cdot \frac{1^{2}}{2^{2}}$

One to any power is one.

$\frac{5}{6} - \frac{7}{9} \cdot \frac{1}{2^{2}}$

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

$\frac{5}{6} - \frac{7}{9} \cdot \frac{1}{4}$

Multiply $- \frac{7}{9} \cdot \frac{1}{4}$ .

Multiply $\frac{1}{4}$ by $\frac{7}{9}$ .

$\frac{5}{6} - \frac{7}{4 \cdot 9}$

Multiply $4$ by $9$ .

$\frac{5}{6} - \frac{7}{36}$

To write $\frac{5}{6}$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$\frac{5}{6} \cdot \frac{6}{6} - \frac{7}{36}$

Write each expression with a common denominator of $36$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{5}{6}$ by $\frac{6}{6}$ .

$\frac{5 \cdot 6}{6 \cdot 6} - \frac{7}{36}$

Multiply $6$ by $6$ .

$\frac{5 \cdot 6}{36} - \frac{7}{36}$

Combine the numerators over the common denominator.

$\frac{5 \cdot 6 - 7}{36}$

Simplify the numerator.

Multiply $5$ by $6$ .

$\frac{30 - 7}{36}$

Subtract $7$ from $30$ .

$\frac{23}{36}$

The result can be shown in multiple forms.

Exact Form:

$\frac{23}{36}$

Decimal Form:

$0.63\overline{8}$