Solve 5/5{frac{5/5.56^2}}

$$\frac{ 5 }{ \frac{ 5 }{ \frac{ 5 }{ { 5.56 }^{ 2 } } } }$$

Evaluate

$$\frac{3125}{19321}\approx 0.161741111$$

Solution Steps

Divide 5 by \frac{5}{\frac{5}{5.56^{2}}} by multiplying 5 by the reciprocal of \frac{5}{\frac{5}{5.56^{2}}}.

$$\frac{5\times \frac{5}{5.56^{2}}}{5}$$

Cancel out 5 and 5.

$$\frac{5}{5.56^{2}}$$

Calculate 5.56 to the power of 2 and get 30.9136.

$$\frac{5}{30.9136}$$

Expand \frac{5}{30.9136} by multiplying both numerator and the denominator by 10000.

$$\frac{50000}{309136}$$

Reduce the fraction \frac{50000}{309136} to lowest terms by extracting and canceling out 16.

$$\frac{3125}{19321}$$

Factor

$$\frac{5 ^ {5}}{139 ^ {2}} = 0.16174111070855546$$