Solve 22/(1-0.01*8)*(1-frac{10{0.5})}

$$\frac{ 22 }{ (1-0.01 \times 8) \times (1- \frac{ 10 }{ 0.5 } ) }$$

Evaluate

$$-\frac{550}{437}\approx -1.258581236$$

Solution Steps

Multiply 0.01 and 8 to get 0.08.

$$\frac{22}{\left(1-0.08\right)\left(1-\frac{10}{0.5}\right)}$$

Subtract 0.08 from 1 to get 0.92.

$$\frac{22}{0.92\left(1-\frac{10}{0.5}\right)}$$

Expand \frac{10}{0.5} by multiplying both numerator and the denominator by 10.

$$\frac{22}{0.92\left(1-\frac{100}{5}\right)}$$

Divide 100 by 5 to get 20.

$$\frac{22}{0.92\left(1-20\right)}$$

Subtract 20 from 1 to get -19.

$$\frac{22}{0.92\left(-19\right)}$$

Multiply 0.92 and -19 to get -17.48.

$$\frac{22}{-17.48}$$

Expand \frac{22}{-17.48} by multiplying both numerator and the denominator by 100.

$$\frac{2200}{-1748}$$

Reduce the fraction \frac{2200}{-1748} to lowest terms by extracting and canceling out 4.

$$-\frac{550}{437}$$

Factor

$$-\frac{550}{437} = -1\frac{113}{437} = -1.2585812356979404$$