Solve 0,001*0,99/0,001*0,98+0,999*0,001=

$$\frac { 0,001 \cdot 0,99 } { 0,001 \cdot 0,98 + 0,999 \cdot 0,001 } =$$

Evaluate

$$\frac{990}{1979}\approx 0,500252653$$

Solution Steps

Multiply 0,001 and 0,99 to get 0,00099.

$$\frac{0,00099}{0,001\times 0,98+0,999\times 0,001}$$

Multiply 0,001 and 0,98 to get 0,00098.

$$\frac{0,00099}{0,00098+0,999\times 0,001}$$

Multiply 0,999 and 0,001 to get 0,000999.

$$\frac{0,00099}{0,00098+0,000999}$$

Add 0,00098 and 0,000999 to get 0,001979.

$$\frac{0,00099}{0,001979}$$

Expand \frac{0,00099}{0,001979} by multiplying both numerator and the denominator by 1000000.

$$\frac{990}{1979}$$

Factor

$$\frac{2 \cdot 5 \cdot 11 \cdot 3 ^ {2}}{1979} = 0.5002526528549772$$