Solve 0.15*0.1/0.15*0.1+0.2*0.3+0.2*0.6

$$\frac{ 0.15 \times 0.1 }{ 0.15 \times 0.1+0.2 \times 0.3+0.2 \times 0.6 }$$

Evaluate

$$\frac{1}{13}\approx 0.076923077$$

Solution Steps

Multiply 0.15 and 0.1 to get 0.015.

$$\frac{0.015}{0.15\times 0.1+0.2\times 0.3+0.2\times 0.6}$$

Multiply 0.15 and 0.1 to get 0.015.

$$\frac{0.015}{0.015+0.2\times 0.3+0.2\times 0.6}$$

Multiply 0.2 and 0.3 to get 0.06.

$$\frac{0.015}{0.015+0.06+0.2\times 0.6}$$

Add 0.015 and 0.06 to get 0.075.

$$\frac{0.015}{0.075+0.2\times 0.6}$$

Multiply 0.2 and 0.6 to get 0.12.

$$\frac{0.015}{0.075+0.12}$$

Add 0.075 and 0.12 to get 0.195.

$$\frac{0.015}{0.195}$$

Expand \frac{0.015}{0.195} by multiplying both numerator and the denominator by 1000.

$$\frac{15}{195}$$

Reduce the fraction \frac{15}{195} to lowest terms by extracting and canceling out 15.

$$\frac{1}{13}$$

Factor

$$\frac{1}{13} = 0.07692307692307693$$