Solve (45*6+55*12+65*50+75*80+85*40+95*12)div200

$$(45 \times 6+55 \times 12+65 \times 50+75 \times 80+85 \times 40+95 \times 12) \div 200$$

Evaluate

$$\frac{368}{5}=73.6$$

Solution Steps

Multiply 45 and 6 to get 270. Multiply 55 and 12 to get 660. Multiply 65 and 50 to get 3250. Multiply 75 and 80 to get 6000. Multiply 85 and 40 to get 3400. Multiply 95 and 12 to get 1140.

$$\frac{270+660+3250+6000+3400+1140}{200}$$

Add 270 and 660 to get 930.

$$\frac{930+3250+6000+3400+1140}{200}$$

Add 930 and 3250 to get 4180.

$$\frac{4180+6000+3400+1140}{200}$$

Add 4180 and 6000 to get 10180.

$$\frac{10180+3400+1140}{200}$$

Add 10180 and 3400 to get 13580.

$$\frac{13580+1140}{200}$$

Add 13580 and 1140 to get 14720.

$$\frac{14720}{200}$$

Reduce the fraction \frac{14720}{200} to lowest terms by extracting and canceling out 40.

$$\frac{368}{5}$$

Factor

$$\frac{2 ^ {4} \cdot 23}{5} = 73\frac{3}{5} = 73.6$$