Solve 16*10+23*17+20*18+5*19+2*20/10+23+20+5+2

$$\frac { 16 \cdot 10 + 23 \cdot 17 + 20 \cdot 18 + 5 \cdot 19 + 2 \cdot 20 } { 10 + 23 + 20 + 5 + 2 }$$

Evaluate

$$\frac{523}{30}\approx 17.433333333$$

Solution Steps

Multiply 16 and 10 to get 160. Multiply 23 and 17 to get 391. Multiply 20 and 18 to get 360. Multiply 5 and 19 to get 95. Multiply 2 and 20 to get 40.

$$\frac{160+391+360+95+40}{10+23+20+5+2}$$

Add 160 and 391 to get 551.

$$\frac{551+360+95+40}{10+23+20+5+2}$$

Add 551 and 360 to get 911.

$$\frac{911+95+40}{10+23+20+5+2}$$

Add 911 and 95 to get 1006.

$$\frac{1006+40}{10+23+20+5+2}$$

Add 1006 and 40 to get 1046.

$$\frac{1046}{10+23+20+5+2}$$

Add 10 and 23 to get 33.

$$\frac{1046}{33+20+5+2}$$

Add 33 and 20 to get 53.

$$\frac{1046}{53+5+2}$$

Add 53 and 5 to get 58.

$$\frac{1046}{58+2}$$

Add 58 and 2 to get 60.

$$\frac{1046}{60}$$

Reduce the fraction \frac{1046}{60} to lowest terms by extracting and canceling out 2.

$$\frac{523}{30}$$

Factor

$$\frac{523}{2 \cdot 3 \cdot 5} = 17\frac{13}{30} = 17.433333333333334$$