Solve 0.9*0.96/0.1*0.15+0.9*0.96

$$\frac{ 0.9 \times 0.96 }{ 0.1 \times 0.15+0.9 \times 0.96 }$$

Evaluate

$$\frac{288}{293}\approx 0.982935154$$

Solution Steps

Multiply 0.9 and 0.96 to get 0.864.

$$\frac{0.864}{0.1\times 0.15+0.9\times 0.96}$$

Multiply 0.1 and 0.15 to get 0.015.

$$\frac{0.864}{0.015+0.9\times 0.96}$$

Multiply 0.9 and 0.96 to get 0.864.

$$\frac{0.864}{0.015+0.864}$$

Add 0.015 and 0.864 to get 0.879.

$$\frac{0.864}{0.879}$$

Expand \frac{0.864}{0.879} by multiplying both numerator and the denominator by 1000.

$$\frac{864}{879}$$

Reduce the fraction \frac{864}{879} to lowest terms by extracting and canceling out 3.

$$\frac{288}{293}$$

Factor

$$\frac{2 ^ {5} \cdot 3 ^ {2}}{293} = 0.9829351535836177$$