Solve 0.65*0.8/(0.65*0.8)+(0.35*0.1)

$$\frac{ 0.65 \times 0.8 }{ (0.65 \times 0.8)+(0.35 \times 0.1) }$$

Evaluate

$$\frac{104}{111}\approx 0.936936937$$

Solution Steps

Multiply 0.65 and 0.8 to get 0.52.

$$\frac{0.52}{0.65\times 0.8+0.35\times 0.1}$$

Multiply 0.65 and 0.8 to get 0.52.

$$\frac{0.52}{0.52+0.35\times 0.1}$$

Multiply 0.35 and 0.1 to get 0.035.

$$\frac{0.52}{0.52+0.035}$$

Add 0.52 and 0.035 to get 0.555.

$$\frac{0.52}{0.555}$$

Expand \frac{0.52}{0.555} by multiplying both numerator and the denominator by 1000.

$$\frac{520}{555}$$

Reduce the fraction \frac{520}{555} to lowest terms by extracting and canceling out 5.

$$\frac{104}{111}$$

Factor

$$\frac{13 \cdot 2 ^ {3}}{3 \cdot 37} = 0.9369369369369369$$