Solve -1/23^2+2*3+6

$$- \frac{ 1 }{ 2 } { 3 }^{ 2 } +2 \times 3+6$$

Evaluate

$$\frac{15}{2}=7.5$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$-\frac{1}{2}\times 9+2\times 3+6$$

Express -\frac{1}{2}\times 9 as a single fraction.

$$\frac{-9}{2}+2\times 3+6$$

Fraction \frac{-9}{2} can be rewritten as -\frac{9}{2} by extracting the negative sign.

$$-\frac{9}{2}+2\times 3+6$$

Multiply 2 and 3 to get 6.

$$-\frac{9}{2}+6+6$$

Convert 6 to fraction \frac{12}{2}.

$$-\frac{9}{2}+\frac{12}{2}+6$$

Since -\frac{9}{2} and \frac{12}{2} have the same denominator, add them by adding their numerators.

$$\frac{-9+12}{2}+6$$

Add -9 and 12 to get 3.

$$\frac{3}{2}+6$$

Convert 6 to fraction \frac{12}{2}.

$$\frac{3}{2}+\frac{12}{2}$$

Since \frac{3}{2} and \frac{12}{2} have the same denominator, add them by adding their numerators.

$$\frac{3+12}{2}$$

Add 3 and 12 to get 15.

$$\frac{15}{2}$$

Factor

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$