Solve 9-1^2-1/2/3-1^2+5(-1)(-frac{1{2})-2{left(-1/-2right)}^2}

$$\frac{ 9 { -1 }^{ 2 } - \frac{ 1 }{ 2 } }{ 3 { -1 }^{ 2 } +5(-1)(- \frac{ 1 }{ 2 } )-2 { \left( \frac{ -1 }{ -2 } \right) }^{ 2 } }$$

Evaluate

$$\frac{17}{10}=1.7$$

Solution Steps

Calculate -1 to the power of 2 and get 1.

$$\frac{9\times 1-\frac{1}{2}}{3\left(-1\right)^{2}+5\left(-1\right)\left(-\frac{1}{2}\right)-2\times \left(\frac{-1}{-2}\right)^{2}}$$

Multiply 9 and 1 to get 9.

$$\frac{9-\frac{1}{2}}{3\left(-1\right)^{2}+5\left(-1\right)\left(-\frac{1}{2}\right)-2\times \left(\frac{-1}{-2}\right)^{2}}$$

Subtract \frac{1}{2} from 9 to get \frac{17}{2}.

$$\frac{\frac{17}{2}}{3\left(-1\right)^{2}+5\left(-1\right)\left(-\frac{1}{2}\right)-2\times \left(\frac{-1}{-2}\right)^{2}}$$

Calculate -1 to the power of 2 and get 1.

$$\frac{\frac{17}{2}}{3\times 1+5\left(-1\right)\left(-\frac{1}{2}\right)-2\times \left(\frac{-1}{-2}\right)^{2}}$$

Multiply 3 and 1 to get 3.

$$\frac{\frac{17}{2}}{3+5\left(-1\right)\left(-\frac{1}{2}\right)-2\times \left(\frac{-1}{-2}\right)^{2}}$$

Multiply 5 and -1 to get -5.

$$\frac{\frac{17}{2}}{3-5\left(-\frac{1}{2}\right)-2\times \left(\frac{-1}{-2}\right)^{2}}$$

Multiply -5 and -\frac{1}{2} to get \frac{5}{2}.

$$\frac{\frac{17}{2}}{3+\frac{5}{2}-2\times \left(\frac{-1}{-2}\right)^{2}}$$

Add 3 and \frac{5}{2} to get \frac{11}{2}.

$$\frac{\frac{17}{2}}{\frac{11}{2}-2\times \left(\frac{-1}{-2}\right)^{2}}$$

Fraction \frac{-1}{-2} can be simplified to \frac{1}{2} by removing the negative sign from both the numerator and the denominator.

$$\frac{\frac{17}{2}}{\frac{11}{2}-2\times \left(\frac{1}{2}\right)^{2}}$$

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\frac{\frac{17}{2}}{\frac{11}{2}-2\times \frac{1}{4}}$$

Multiply 2 and \frac{1}{4} to get \frac{1}{2}.

$$\frac{\frac{17}{2}}{\frac{11}{2}-\frac{1}{2}}$$

Subtract \frac{1}{2} from \frac{11}{2} to get 5.

$$\frac{\frac{17}{2}}{5}$$

Express \frac{\frac{17}{2}}{5} as a single fraction.

$$\frac{17}{2\times 5}$$

Multiply 2 and 5 to get 10.

$$\frac{17}{10}$$

Factor

$$\frac{17}{2 \cdot 5} = 1\frac{7}{10} = 1.7$$