Solve =0.1*0.04/0.1*0.04+0.6*0.02+0.3*0.03

$$= \frac { 0.1 \times 0.04 } { 0.1 \times 0.04 + 0.6 \times 0.02 + 0.3 \times 0.03 }$$

Evaluate

$$0.16$$

Solution Steps

Multiply 0.1 and 0.04 to get 0.004.

$$\frac{0.004}{0.1\times 0.04+0.6\times 0.02+0.3\times 0.03}$$

Multiply 0.1 and 0.04 to get 0.004.

$$\frac{0.004}{0.004+0.6\times 0.02+0.3\times 0.03}$$

Multiply 0.6 and 0.02 to get 0.012.

$$\frac{0.004}{0.004+0.012+0.3\times 0.03}$$

Add 0.004 and 0.012 to get 0.016.

$$\frac{0.004}{0.016+0.3\times 0.03}$$

Multiply 0.3 and 0.03 to get 0.009.

$$\frac{0.004}{0.016+0.009}$$

Add 0.016 and 0.009 to get 0.025.

$$\frac{0.004}{0.025}$$

Expand \frac{0.004}{0.025} by multiplying both numerator and the denominator by 1000.

$$\frac{4}{25}$$

Factor

$$\frac{2 ^ {2}}{5 ^ {2}} = 0.16$$