Solve 0.05*0.2/0.05*0.2+0.5*0.5+0.3*0.3

$$\frac { 0.05 \times 0.2 } { 0.05 \times 0.2 + 0.5 \times 0.5 + 0.3 \times 0.3 }$$

Evaluate

$$\frac{1}{35}\approx 0.028571429$$

Solution Steps

Multiply 0.05 and 0.2 to get 0.01.

$$\frac{0.01}{0.05\times 0.2+0.5\times 0.5+0.3\times 0.3}$$

Multiply 0.05 and 0.2 to get 0.01.

$$\frac{0.01}{0.01+0.5\times 0.5+0.3\times 0.3}$$

Multiply 0.5 and 0.5 to get 0.25.

$$\frac{0.01}{0.01+0.25+0.3\times 0.3}$$

Add 0.01 and 0.25 to get 0.26.

$$\frac{0.01}{0.26+0.3\times 0.3}$$

Multiply 0.3 and 0.3 to get 0.09.

$$\frac{0.01}{0.26+0.09}$$

Add 0.26 and 0.09 to get 0.35.

$$\frac{0.01}{0.35}$$

Expand \frac{0.01}{0.35} by multiplying both numerator and the denominator by 100.

$$\frac{1}{35}$$

Factor

$$\frac{1}{5 \cdot 7} = 0.02857142857142857$$