Solve 5/5{frac{5/5.56}}

$$\frac{ 5 }{ \frac{ 5 }{ \frac{ 5 }{ 5.56 } } }$$

Evaluate

$$\frac{125}{139}\approx 0.899280576$$

Solution Steps

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

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

Cancel out 5 and 5.

$$\frac{5}{5.56}$$

Expand \frac{5}{5.56} by multiplying both numerator and the denominator by 100.

$$\frac{500}{556}$$

Reduce the fraction \frac{500}{556} to lowest terms by extracting and canceling out 4.

$$\frac{125}{139}$$

Factor

$$\frac{5 ^ {3}}{139} = 0.8992805755395683$$