Solve 11500-12500/(11500+12500)div2/frac{65-5.5{(6.5+5.5)div2}}

$$\frac { \frac { 11500 - 12500 } { ( 11500 + 12500 ) \div 2 } } { \frac { 65 - 5.5 } { ( 6.5 + 5.5 ) \div 2 } }$$

Evaluate

$$-\frac{1}{119}\approx -0.008403361$$

Solution Steps

Divide \frac{11500-12500}{\frac{11500+12500}{2}} by \frac{65-5.5}{\frac{6.5+5.5}{2}} by multiplying \frac{11500-12500}{\frac{11500+12500}{2}} by the reciprocal of \frac{65-5.5}{\frac{6.5+5.5}{2}}.

$$\frac{\left(11500-12500\right)\times \frac{6.5+5.5}{2}}{\frac{11500+12500}{2}\left(65-5.5\right)}$$

Subtract 12500 from 11500 to get -1000.

$$\frac{-1000\times \frac{6.5+5.5}{2}}{\frac{11500+12500}{2}\left(65-5.5\right)}$$

Add 6.5 and 5.5 to get 12.

$$\frac{-1000\times \frac{12}{2}}{\frac{11500+12500}{2}\left(65-5.5\right)}$$

Divide 12 by 2 to get 6.

$$\frac{-1000\times 6}{\frac{11500+12500}{2}\left(65-5.5\right)}$$

Multiply -1000 and 6 to get -6000.

$$\frac{-6000}{\frac{11500+12500}{2}\left(65-5.5\right)}$$

Add 11500 and 12500 to get 24000.

$$\frac{-6000}{\frac{24000}{2}\left(65-5.5\right)}$$

Divide 24000 by 2 to get 12000.

$$\frac{-6000}{12000\left(65-5.5\right)}$$

Subtract 5.5 from 65 to get 59.5.

$$\frac{-6000}{12000\times 59.5}$$

Multiply 12000 and 59.5 to get 714000.

$$\frac{-6000}{714000}$$

Reduce the fraction \frac{-6000}{714000} to lowest terms by extracting and canceling out 6000.

$$-\frac{1}{119}$$

Factor

$$-\frac{1}{119} = -0.008403361344537815$$