Solve 0.95*0.005div(0.005*0.95+0.995*0.05)

$$0.95 \times 0.005 \div (0.005 \times 0.95+0.995 \times 0.05)$$

Evaluate

$$\frac{19}{218}\approx 0.087155963$$

Solution Steps

Multiply 0.95 and 0.005 to get 0.00475.

$$\frac{0.00475}{0.005\times 0.95+0.995\times 0.05}$$

Multiply 0.005 and 0.95 to get 0.00475.

$$\frac{0.00475}{0.00475+0.995\times 0.05}$$

Multiply 0.995 and 0.05 to get 0.04975.

$$\frac{0.00475}{0.00475+0.04975}$$

Add 0.00475 and 0.04975 to get 0.0545.

$$\frac{0.00475}{0.0545}$$

Expand \frac{0.00475}{0.0545} by multiplying both numerator and the denominator by 100000.

$$\frac{475}{5450}$$

Reduce the fraction \frac{475}{5450} to lowest terms by extracting and canceling out 25.

$$\frac{19}{218}$$

Factor

$$\frac{19}{2 \cdot 109} = 0.0871559633027523$$