Solve (0.50)(0.20)/(0.50)(0.20)+(0.50)(0.85)

$$\frac { ( 0.50 ) ( 0.20 ) } { ( 0.50 ) ( 0.20 ) + ( 0.50 ) ( 0.85 ) }$$

Evaluate

$$\frac{4}{21}\approx 0.19047619$$

Solution Steps

Multiply 0.5 and 0.2 to get 0.1.

$$\frac{0.1}{0.5\times 0.2+0.5\times 0.85}$$

Multiply 0.5 and 0.2 to get 0.1.

$$\frac{0.1}{0.1+0.5\times 0.85}$$

Multiply 0.5 and 0.85 to get 0.425.

$$\frac{0.1}{0.1+0.425}$$

Add 0.1 and 0.425 to get 0.525.

$$\frac{0.1}{0.525}$$

Expand \frac{0.1}{0.525} by multiplying both numerator and the denominator by 1000.

$$\frac{100}{525}$$

Reduce the fraction \frac{100}{525} to lowest terms by extracting and canceling out 25.

$$\frac{4}{21}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 7} = 0.19047619047619047$$