Solve 5/5{frac{5/5.5}}

$$\frac{ 5 }{ \frac{ 5 }{ \frac{ 5 }{ 5.5 } } }$$

Evaluate

$$\frac{10}{11}\approx 0.909090909$$

Solution Steps

Divide 5 by \frac{5}{\frac{5}{5.5}} by multiplying 5 by the reciprocal of \frac{5}{\frac{5}{5.5}}.

$$\frac{5\times \frac{5}{5.5}}{5}$$

Cancel out 5 and 5.

$$\frac{5}{5.5}$$

Expand \frac{5}{5.5} by multiplying both numerator and the denominator by 10.

$$\frac{50}{55}$$

Reduce the fraction \frac{50}{55} to lowest terms by extracting and canceling out 5.

$$\frac{10}{11}$$

Factor

$$\frac{2 \cdot 5}{11} = 0.9090909090909091$$