Solve 82/frac{2{frac{4/8}}}{}

$$\frac{ \frac{ 82 }{ \frac{ 2 }{ \frac{ 4 }{ 8 } } } }{ }$$

Evaluate

$$\frac{41}{2}=20.5$$

Solution Steps

Divide 82 by \frac{2}{\frac{4}{8}} by multiplying 82 by the reciprocal of \frac{2}{\frac{4}{8}}.

$$\frac{\frac{82\times \frac{4}{8}}{2}}{1}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{82\times \frac{1}{2}}{2}}{1}$$

Multiply 82 and \frac{1}{2} to get \frac{82}{2}.

$$\frac{\frac{\frac{82}{2}}{2}}{1}$$

Divide 82 by 2 to get 41.

$$\frac{\frac{41}{2}}{1}$$

Anything divided by one gives itself.

$$\frac{41}{2}$$

Factor

$$\frac{41}{2} = 20\frac{1}{2} = 20.5$$