Solve ((.5*9272)+(.8*2674))div(2674+9272

$$((.5 \times 9272)+(.8 \times 2674)) \div (2674+9272$$

Evaluate

$$\frac{5646}{9955}\approx 0.567152185$$

Solution Steps

Multiply 0.5 and 9272 to get 4636.

$$\frac{4636+0.8\times 2674}{2674+9272}$$

Multiply 0.8 and 2674 to get 2139.2.

$$\frac{4636+2139.2}{2674+9272}$$

Add 4636 and 2139.2 to get 6775.2.

$$\frac{6775.2}{2674+9272}$$

Add 2674 and 9272 to get 11946.

$$\frac{6775.2}{11946}$$

Expand \frac{6775.2}{11946} by multiplying both numerator and the denominator by 10.

$$\frac{67752}{119460}$$

Reduce the fraction \frac{67752}{119460} to lowest terms by extracting and canceling out 12.

$$\frac{5646}{9955}$$

Factor

$$\frac{2 \cdot 3 \cdot 941}{5 \cdot 11 \cdot 181} = 0.5671521848317428$$