Solve 5/frac{5{9.5}}9.5/frac{5{5}}

$$\frac{ 5 }{ \frac{ 5 }{ 9.5 } } \frac{ 9.5 }{ \frac{ 5 }{ 5 } }$$

Evaluate

$$90.25$$

Solution Steps

Divide 5 by 5 to get 1.

$$\frac{5}{\frac{5}{9.5}}\times \frac{9.5}{1}$$

Divide 5 by \frac{5}{9.5} by multiplying 5 by the reciprocal of \frac{5}{9.5}.

$$\frac{5\times 9.5}{5}\times \frac{9.5}{1}$$

Cancel out 5 and 5.

$$9.5\times \frac{9.5}{1}$$

Anything divided by one gives itself.

$$9.5\times 9.5$$

Multiply 9.5 and 9.5 to get 90.25.

$$90.25$$

Factor

$$\frac{19 ^ {2}}{2 ^ {2}} = 90\frac{1}{4} = 90.25$$