Solve 220*200*150div2div2div(150^2+50^2)

$$220 \times 200 \times 150 \div 2 \div 2 \div ( { 150 }^{ 2 } + { 50 }^{ 2 } )$$

Evaluate

$$66$$

Solution Steps

Express \frac{\frac{220\times 200\times 150}{2}}{2} as a single fraction.

$$\frac{\frac{220\times 200\times 150}{2\times 2}}{150^{2}+50^{2}}$$

Cancel out 2\times 2 in both numerator and denominator.

$$\frac{55\times 150\times 200}{150^{2}+50^{2}}$$

Multiply 55 and 150 to get 8250.

$$\frac{8250\times 200}{150^{2}+50^{2}}$$

Multiply 8250 and 200 to get 1650000.

$$\frac{1650000}{150^{2}+50^{2}}$$

Calculate 150 to the power of 2 and get 22500.

$$\frac{1650000}{22500+50^{2}}$$

Calculate 50 to the power of 2 and get 2500.

$$\frac{1650000}{22500+2500}$$

Add 22500 and 2500 to get 25000.

$$\frac{1650000}{25000}$$

Divide 1650000 by 25000 to get 66.

$$66$$

Factor

$$2\times 3\times 11$$