Solve 0.1*1+0.4*1+0.929*0.8+0.666*0.5+1*0.3/1+1+0.8+0.5+0.3

$$\frac { 0.1 * 1 + 0.4 * 1 + 0.929 * 0.8 + 0.666 * 0.5 + 1 * 0.3 } { 1 + 1 + 0.8 + 0.5 + 0.3 }$$

Evaluate

$$\frac{3127}{6000}\approx 0.521166667$$

Solution Steps

Multiply 0.1 and 1 to get 0.1.

$$\frac{0.1+0.4\times 1+0.929\times 0.8+0.666\times 0.5+1\times 0.3}{1+1+0.8+0.5+0.3}$$

Multiply 0.4 and 1 to get 0.4.

$$\frac{0.1+0.4+0.929\times 0.8+0.666\times 0.5+1\times 0.3}{1+1+0.8+0.5+0.3}$$

Add 0.1 and 0.4 to get 0.5.

$$\frac{0.5+0.929\times 0.8+0.666\times 0.5+1\times 0.3}{1+1+0.8+0.5+0.3}$$

Multiply 0.929 and 0.8 to get 0.7432.

$$\frac{0.5+0.7432+0.666\times 0.5+1\times 0.3}{1+1+0.8+0.5+0.3}$$

Add 0.5 and 0.7432 to get 1.2432.

$$\frac{1.2432+0.666\times 0.5+1\times 0.3}{1+1+0.8+0.5+0.3}$$

Multiply 0.666 and 0.5 to get 0.333.

$$\frac{1.2432+0.333+1\times 0.3}{1+1+0.8+0.5+0.3}$$

Add 1.2432 and 0.333 to get 1.5762.

$$\frac{1.5762+1\times 0.3}{1+1+0.8+0.5+0.3}$$

Multiply 1 and 0.3 to get 0.3.

$$\frac{1.5762+0.3}{1+1+0.8+0.5+0.3}$$

Add 1.5762 and 0.3 to get 1.8762.

$$\frac{1.8762}{1+1+0.8+0.5+0.3}$$

Add 1 and 1 to get 2.

$$\frac{1.8762}{2+0.8+0.5+0.3}$$

Add 2 and 0.8 to get 2.8.

$$\frac{1.8762}{2.8+0.5+0.3}$$

Add 2.8 and 0.5 to get 3.3.

$$\frac{1.8762}{3.3+0.3}$$

Add 3.3 and 0.3 to get 3.6.

$$\frac{1.8762}{3.6}$$

Expand \frac{1.8762}{3.6} by multiplying both numerator and the denominator by 10000.

$$\frac{18762}{36000}$$

Reduce the fraction \frac{18762}{36000} to lowest terms by extracting and canceling out 6.

$$\frac{3127}{6000}$$

Factor

$$\frac{53 \cdot 59}{3 \cdot 2 ^ {4} \cdot 5 ^ {3}} = 0.5211666666666667$$