Evaluate (1/4+5/4)^2+3/4

${(\frac{1}{4} + \frac{5}{4})}^{2} + \frac{3}{4}$

Simplify each term.

Combine the numerators over the common denominator.

${(\frac{1 + 5}{4})}^{2} + \frac{3}{4}$

Add $1$ and $5$ .

${(\frac{6}{4})}^{2} + \frac{3}{4}$

Cancel the common factor of $6$ and $4$ .

Factor $2$ out of $6$ .

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

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Apply the product rule to $\frac{3}{2}$ .

$\frac{3^{2}}{2^{2}} + \frac{3}{4}$

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

$\frac{9}{2^{2}} + \frac{3}{4}$

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

$\frac{9}{4} + \frac{3}{4}$

Combine fractions.

Combine the numerators over the common denominator.

$\frac{9 + 3}{4}$

Simplify the expression.

Add $9$ and $3$ .

$\frac{12}{4}$

Divide $12$ by $4$ .

$3$