Solve 0.8*0.8*0.45/0.8*0.8*0.45+0.04*0.55

$$\frac{ 0.8 \times 0.8 \times 0.45 }{ 0.8 \times 0.8 \times 0.45+0.04 \times 0.55 }$$

Evaluate

$$\frac{144}{155}\approx 0.929032258$$

Solution Steps

Multiply 0.8 and 0.8 to get 0.64.

$$\frac{0.64\times 0.45}{0.8\times 0.8\times 0.45+0.04\times 0.55}$$

Multiply 0.64 and 0.45 to get 0.288.

$$\frac{0.288}{0.8\times 0.8\times 0.45+0.04\times 0.55}$$

Multiply 0.8 and 0.8 to get 0.64.

$$\frac{0.288}{0.64\times 0.45+0.04\times 0.55}$$

Multiply 0.64 and 0.45 to get 0.288.

$$\frac{0.288}{0.288+0.04\times 0.55}$$

Multiply 0.04 and 0.55 to get 0.022.

$$\frac{0.288}{0.288+0.022}$$

Add 0.288 and 0.022 to get 0.31.

$$\frac{0.288}{0.31}$$

Expand \frac{0.288}{0.31} by multiplying both numerator and the denominator by 1000.

$$\frac{288}{310}$$

Reduce the fraction \frac{288}{310} to lowest terms by extracting and canceling out 2.

$$\frac{144}{155}$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2}}{5 \cdot 31} = 0.9290322580645162$$