Solve 150*10+360*16+40*20/150+360+90

$$\frac{ 150 \cdot 10+360 \cdot 16+40 \cdot 20 }{ 150+360+90 }$$

Evaluate

$$\frac{403}{30}\approx 13.433333333$$

Solution Steps

Multiply 150 and 10 to get 1500. Multiply 360 and 16 to get 5760. Multiply 40 and 20 to get 800.

$$\frac{1500+5760+800}{150+360+90}$$

Add 1500 and 5760 to get 7260.

$$\frac{7260+800}{150+360+90}$$

Add 7260 and 800 to get 8060.

$$\frac{8060}{150+360+90}$$

Add 150 and 360 to get 510.

$$\frac{8060}{510+90}$$

Add 510 and 90 to get 600.

$$\frac{8060}{600}$$

Reduce the fraction \frac{8060}{600} to lowest terms by extracting and canceling out 20.

$$\frac{403}{30}$$

Factor

$$\frac{13 \cdot 31}{2 \cdot 3 \cdot 5} = 13\frac{13}{30} = 13.433333333333334$$