Solve 1/2*(33-2)*350*4000*0.85/1.5

$$\frac { 1 } { 2 } \times ( 33 - 2 ) \times \frac { 350 \times 4000 \times 0.85 } { 1.5 }$$

Evaluate

$$\frac{36890000}{3}\approx 12296666.666666667$$

Solution Steps

Subtract 2 from 33 to get 31.

$$\frac{1}{2}\times 31\times \frac{350\times 4000\times 0.85}{1.5}$$

Multiply \frac{1}{2} and 31 to get \frac{31}{2}.

$$\frac{31}{2}\times \frac{350\times 4000\times 0.85}{1.5}$$

Multiply 350 and 4000 to get 1400000.

$$\frac{31}{2}\times \frac{1400000\times 0.85}{1.5}$$

Multiply 1400000 and 0.85 to get 1190000.

$$\frac{31}{2}\times \frac{1190000}{1.5}$$

Expand \frac{1190000}{1.5} by multiplying both numerator and the denominator by 10.

$$\frac{31}{2}\times \frac{11900000}{15}$$

Reduce the fraction \frac{11900000}{15} to lowest terms by extracting and canceling out 5.

$$\frac{31}{2}\times \frac{2380000}{3}$$

Multiply \frac{31}{2} times \frac{2380000}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{31\times 2380000}{2\times 3}$$

Do the multiplications in the fraction \frac{31\times 2380000}{2\times 3}.

$$\frac{73780000}{6}$$

Reduce the fraction \frac{73780000}{6} to lowest terms by extracting and canceling out 2.

$$\frac{36890000}{3}$$

Factor

$$\frac{7 \cdot 17 \cdot 31 \cdot 2 ^ {4} \cdot 5 ^ {4}}{3} = 12296666\frac{2}{3} = 12296666.666666666$$