Solve 0.45*0.55/1-0.55^2

$$0.45 \times \frac { 0.55 } { 1 - 0.55 ^ { 2 } }$$

Evaluate

$$\frac{11}{31}\approx 0.35483871$$

Solution Steps

Calculate 0.55 to the power of 2 and get 0.3025.

$$0.45\times \frac{0.55}{1-0.3025}$$

Subtract 0.3025 from 1 to get 0.6975.

$$0.45\times \frac{0.55}{0.6975}$$

Expand \frac{0.55}{0.6975} by multiplying both numerator and the denominator by 10000.

$$0.45\times \frac{5500}{6975}$$

Reduce the fraction \frac{5500}{6975} to lowest terms by extracting and canceling out 25.

$$0.45\times \frac{220}{279}$$

Convert decimal number 0.45 to fraction \frac{45}{100}. Reduce the fraction \frac{45}{100} to lowest terms by extracting and canceling out 5.

$$\frac{9}{20}\times \frac{220}{279}$$

Multiply \frac{9}{20} times \frac{220}{279} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 220}{20\times 279}$$

Do the multiplications in the fraction \frac{9\times 220}{20\times 279}.

$$\frac{1980}{5580}$$

Reduce the fraction \frac{1980}{5580} to lowest terms by extracting and canceling out 180.

$$\frac{11}{31}$$

Factor

$$\frac{11}{31} = 0.3548387096774194$$