Solve 2*90/0.43^2div1000=

$$\frac{ 2 \cdot 90 }{ { 0.43 }^{ 2 } } \div 1000=$$

Evaluate

$$\frac{1800}{1849}\approx 0.973499189$$

Solution Steps

Express \frac{\frac{2\times 90}{0.43^{2}}}{1000} as a single fraction.

$$\frac{2\times 90}{0.43^{2}\times 1000}$$

Cancel out 2\times 10 in both numerator and denominator.

$$\frac{9}{50\times 0.43^{2}}$$

Calculate 0.43 to the power of 2 and get 0.1849.

$$\frac{9}{50\times 0.1849}$$

Multiply 50 and 0.1849 to get 9.245.

$$\frac{9}{9.245}$$

Expand \frac{9}{9.245} by multiplying both numerator and the denominator by 1000.

$$\frac{9000}{9245}$$

Reduce the fraction \frac{9000}{9245} to lowest terms by extracting and canceling out 5.

$$\frac{1800}{1849}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {2} \cdot 5 ^ {2}}{43 ^ {2}} = 0.9734991887506761$$