Solve (2-3)([2+3)/2]/(10-8)/[(10+8)/2]

$$\frac { ( 2 - 3 ) ( [ 2 + 3 ) / 2 ] } { ( 10 - 8 ) / [ ( 10 + 8 ) / 2 ] }$$

Evaluate

$$-\frac{45}{4}=-11.25$$

Solution Steps

Subtract 3 from 2 to get -1.

$$\frac{-\frac{2+3}{2}}{\frac{10-8}{\frac{10+8}{2}}}$$

Add 2 and 3 to get 5.

$$\frac{-\frac{5}{2}}{\frac{10-8}{\frac{10+8}{2}}}$$

Subtract 8 from 10 to get 2.

$$\frac{-\frac{5}{2}}{\frac{2}{\frac{10+8}{2}}}$$

Add 10 and 8 to get 18.

$$\frac{-\frac{5}{2}}{\frac{2}{\frac{18}{2}}}$$

Divide 18 by 2 to get 9.

$$\frac{-\frac{5}{2}}{\frac{2}{9}}$$

Divide -\frac{5}{2} by \frac{2}{9} by multiplying -\frac{5}{2} by the reciprocal of \frac{2}{9}.

$$-\frac{5}{2}\times \frac{9}{2}$$

Multiply -\frac{5}{2} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\times 9}{2\times 2}$$

Do the multiplications in the fraction \frac{-5\times 9}{2\times 2}.

$$\frac{-45}{4}$$

Fraction \frac{-45}{4} can be rewritten as -\frac{45}{4} by extracting the negative sign.

$$-\frac{45}{4}$$

Factor

$$-\frac{45}{4} = -11\frac{1}{4} = -11.25$$