Solve 200*(2700-1200)(2700-1200)div150div50div110div90

$$200 \times (2700-1200)(2700-1200) \div 150 \div 50 \div 110 \div 90$$

Evaluate

$$\frac{200}{33}\approx 6.060606061$$

Solution Steps

Multiply 2700-1200 and 2700-1200 to get \left(2700-1200\right)^{2}.

$$\frac{\frac{\frac{\frac{200\left(2700-1200\right)^{2}}{150}}{50}}{110}}{90}$$

Express \frac{\frac{\frac{\frac{200\left(2700-1200\right)^{2}}{150}}{50}}{110}}{90} as a single fraction.

$$\frac{\frac{\frac{200\left(2700-1200\right)^{2}}{150}}{50}}{110\times 90}$$

Express \frac{\frac{200\left(2700-1200\right)^{2}}{150}}{50} as a single fraction.

$$\frac{\frac{200\left(2700-1200\right)^{2}}{150\times 50}}{110\times 90}$$

Cancel out 2\times 50 in both numerator and denominator.

$$\frac{\frac{2\left(2700-1200\right)^{2}}{3\times 25}}{110\times 90}$$

Subtract 1200 from 2700 to get 1500.

$$\frac{\frac{2\times 1500^{2}}{3\times 25}}{110\times 90}$$

Calculate 1500 to the power of 2 and get 2250000.

$$\frac{\frac{2\times 2250000}{3\times 25}}{110\times 90}$$

Multiply 2 and 2250000 to get 4500000.

$$\frac{\frac{4500000}{3\times 25}}{110\times 90}$$

Multiply 3 and 25 to get 75.

$$\frac{\frac{4500000}{75}}{110\times 90}$$

Divide 4500000 by 75 to get 60000.

$$\frac{60000}{110\times 90}$$

Multiply 110 and 90 to get 9900.

$$\frac{60000}{9900}$$

Reduce the fraction \frac{60000}{9900} to lowest terms by extracting and canceling out 300.

$$\frac{200}{33}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{3 \cdot 11} = 6\frac{2}{33} = 6.0606060606060606$$