Solve (-538*.538-.462*.462)/(1-.924)=

$$\frac { ( - 538 \times .538 - .462 \times .462 ) } { ( 1 - .924 ) } =$$

Evaluate

$$-\frac{72414361}{19000}\approx -3811.282157895$$

Solution Steps

Multiply -538 and 0.538 to get -289.444.

$$\frac{-289.444-0.462\times 0.462}{1-0.924}$$

Multiply 0.462 and 0.462 to get 0.213444.

$$\frac{-289.444-0.213444}{1-0.924}$$

Subtract 0.213444 from -289.444 to get -289.657444.

$$\frac{-289.657444}{1-0.924}$$

Subtract 0.924 from 1 to get 0.076.

$$\frac{-289.657444}{0.076}$$

Expand \frac{-289.657444}{0.076} by multiplying both numerator and the denominator by 1000000.

$$\frac{-289657444}{76000}$$

Reduce the fraction \frac{-289657444}{76000} to lowest terms by extracting and canceling out 4.

$$-\frac{72414361}{19000}$$

Factor

$$-\frac{72414361}{19000} = -3811\frac{5361}{19000} = -3811.282157894737$$