Solve 7-(3-5)+(3-3*2/3)div(-2)

$$7 - ( 3 - 5 ) + ( 3 - 3 \times \frac { 2 } { 3 } ) \div ( - 2 )$$

Evaluate

$$\frac{17}{2}=8.5$$

Solution Steps

Subtract 5 from 3 to get -2.

$$7-\left(-2\right)+\frac{3-3\times \frac{2}{3}}{-2}$$

The opposite of -2 is 2.

$$7+2+\frac{3-3\times \frac{2}{3}}{-2}$$

Add 7 and 2 to get 9.

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

Cancel out 3 and 3.

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

Subtract 2 from 3 to get 1.

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

Fraction \frac{1}{-2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

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

Convert 9 to fraction \frac{18}{2}.

$$\frac{18}{2}-\frac{1}{2}$$

Since \frac{18}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-1}{2}$$

Subtract 1 from 18 to get 17.

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

Factor

$$\frac{17}{2} = 8\frac{1}{2} = 8.5$$