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

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

Evaluate

$$\frac{138459488}{29865}\approx 4636.179072493$$

Solution Steps

Multiply 0.5 and 9272 to get 4636.

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

Multiply 0.8 and 2674 to get 2139.2.

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

Add 2674 and 9272 to get 11946.

$$4636+\frac{2139.2}{11946}$$

Expand \frac{2139.2}{11946} by multiplying both numerator and the denominator by 10.

$$4636+\frac{21392}{119460}$$

Reduce the fraction \frac{21392}{119460} to lowest terms by extracting and canceling out 4.

$$4636+\frac{5348}{29865}$$

Convert 4636 to fraction \frac{138454140}{29865}.

$$\frac{138454140}{29865}+\frac{5348}{29865}$$

Since \frac{138454140}{29865} and \frac{5348}{29865} have the same denominator, add them by adding their numerators.

$$\frac{138454140+5348}{29865}$$

Add 138454140 and 5348 to get 138459488.

$$\frac{138459488}{29865}$$

Factor

$$\frac{4326859 \cdot 2 ^ {5}}{3 \cdot 5 \cdot 11 \cdot 181} = 4636\frac{5348}{29865} = 4636.179072492885$$