Solve 2(3/2)^2+1

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

Evaluate

$$\frac{11}{2}=5.5$$

Solution Steps

Calculate \frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$2\times \frac{9}{4}+1$$

Express 2\times \frac{9}{4} as a single fraction.

$$\frac{2\times 9}{4}+1$$

Multiply 2 and 9 to get 18.

$$\frac{18}{4}+1$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}+1$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{9}{2}+\frac{2}{2}$$

Since \frac{9}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

$$\frac{9+2}{2}$$

Add 9 and 2 to get 11.

$$\frac{11}{2}$$

Factor

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$