Solve 0.1*0.8/0.1*0.8+0.9*0.2

$$\frac { 0.1 \times 0.8 } { 0.1 \times 0.8 + 0.9 \times 0.2 }$$

Evaluate

$$\frac{4}{13}\approx 0.307692308$$

Solution Steps

Multiply 0.1 and 0.8 to get 0.08.

$$\frac{0.08}{0.1\times 0.8+0.9\times 0.2}$$

Multiply 0.1 and 0.8 to get 0.08.

$$\frac{0.08}{0.08+0.9\times 0.2}$$

Multiply 0.9 and 0.2 to get 0.18.

$$\frac{0.08}{0.08+0.18}$$

Add 0.08 and 0.18 to get 0.26.

$$\frac{0.08}{0.26}$$

Expand \frac{0.08}{0.26} by multiplying both numerator and the denominator by 100.

$$\frac{8}{26}$$

Reduce the fraction \frac{8}{26} to lowest terms by extracting and canceling out 2.

$$\frac{4}{13}$$

Factor

$$\frac{2 ^ {2}}{13} = 0.3076923076923077$$