Solve {left(1.33*0.5/1.58right)}^2

$${ \left( \frac{ 1.33 \times 0.5 }{ 1.58 } \right) }^{ 2 }$$

Evaluate

$$\frac{17689}{99856}\approx 0.177145089$$

Solution Steps

Multiply 1.33 and 0.5 to get 0.665.

$$\left(\frac{0.665}{1.58}\right)^{2}$$

Expand \frac{0.665}{1.58} by multiplying both numerator and the denominator by 1000.

$$\left(\frac{665}{1580}\right)^{2}$$

Reduce the fraction \frac{665}{1580} to lowest terms by extracting and canceling out 5.

$$\left(\frac{133}{316}\right)^{2}$$

Calculate \frac{133}{316} to the power of 2 and get \frac{17689}{99856}.

$$\frac{17689}{99856}$$

Factor

$$\frac{7 ^ {2} \cdot 19 ^ {2}}{2 ^ {4} \cdot 79 ^ {2}} = 0.1771450889280564$$