Solve ((.5*10094)+(.2*10697))div(10094+10697)

$$((.5 \times 10094)+(.2 \times 10697)) \div (10094+10697)$$

Evaluate

$$\frac{35932}{103955}\approx 0.34564956$$

Solution Steps

Multiply 0.5 and 10094 to get 5047.

$$\frac{5047+0.2\times 10697}{10094+10697}$$

Multiply 0.2 and 10697 to get 2139.4.

$$\frac{5047+2139.4}{10094+10697}$$

Add 5047 and 2139.4 to get 7186.4.

$$\frac{7186.4}{10094+10697}$$

Add 10094 and 10697 to get 20791.

$$\frac{7186.4}{20791}$$

Expand \frac{7186.4}{20791} by multiplying both numerator and the denominator by 10.

$$\frac{71864}{207910}$$

Reduce the fraction \frac{71864}{207910} to lowest terms by extracting and canceling out 2.

$$\frac{35932}{103955}$$

Factor

$$\frac{13 \cdot 691 \cdot 2 ^ {2}}{5 \cdot 17 \cdot 1223} = 0.34564955990572843$$