Solve {left(frac{11/2right)}^2}{4}+6

$$\frac{ { \left( \frac{ 11 }{ 2 } \right) }^{ 2 } }{ 4 } +6$$

Evaluate

$$\frac{217}{16}=13.5625$$

Solution Steps

Calculate \frac{11}{2} to the power of 2 and get \frac{121}{4}.

$$\frac{\frac{121}{4}}{4}+6$$

Express \frac{\frac{121}{4}}{4} as a single fraction.

$$\frac{121}{4\times 4}+6$$

Multiply 4 and 4 to get 16.

$$\frac{121}{16}+6$$

Convert 6 to fraction \frac{96}{16}.

$$\frac{121}{16}+\frac{96}{16}$$

Since \frac{121}{16} and \frac{96}{16} have the same denominator, add them by adding their numerators.

$$\frac{121+96}{16}$$

Add 121 and 96 to get 217.

$$\frac{217}{16}$$

Factor

$$\frac{7 \cdot 31}{2 ^ {4}} = 13\frac{9}{16} = 13.5625$$