Solve ((.5*9272)+(.8*10697))div(9727+10697

$$((.5 \times 9272)+(.8 \times 10697)) \div (9727+10697$$

Evaluate

$$\frac{8246}{12765}\approx 0.645985116$$

Solution Steps

Multiply 0.5 and 9272 to get 4636.

$$\frac{4636+0.8\times 10697}{9727+10697}$$

Multiply 0.8 and 10697 to get 8557.6.

$$\frac{4636+8557.6}{9727+10697}$$

Add 4636 and 8557.6 to get 13193.6.

$$\frac{13193.6}{9727+10697}$$

Add 9727 and 10697 to get 20424.

$$\frac{13193.6}{20424}$$

Expand \frac{13193.6}{20424} by multiplying both numerator and the denominator by 10.

$$\frac{131936}{204240}$$

Reduce the fraction \frac{131936}{204240} to lowest terms by extracting and canceling out 16.

$$\frac{8246}{12765}$$

Factor

$$\frac{2 \cdot 7 \cdot 19 \cdot 31}{3 \cdot 5 \cdot 23 \cdot 37} = 0.6459851155503329$$