Solve 82/5^2+frac{5{20}}

$$\frac{ 82 }{ { 5 }^{ 2 } + \frac{ 5 }{ 20 } }$$

Evaluate

$$\frac{328}{101}\approx 3.247524752$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{82}{25+\frac{5}{20}}$$

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$\frac{82}{25+\frac{1}{4}}$$

Convert 25 to fraction \frac{100}{4}.

$$\frac{82}{\frac{100}{4}+\frac{1}{4}}$$

Since \frac{100}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{82}{\frac{100+1}{4}}$$

Add 100 and 1 to get 101.

$$\frac{82}{\frac{101}{4}}$$

Divide 82 by \frac{101}{4} by multiplying 82 by the reciprocal of \frac{101}{4}.

$$82\times \frac{4}{101}$$

Express 82\times \frac{4}{101} as a single fraction.

$$\frac{82\times 4}{101}$$

Multiply 82 and 4 to get 328.

$$\frac{328}{101}$$

Factor

$$\frac{2 ^ {3} \cdot 41}{101} = 3\frac{25}{101} = 3.2475247524752477$$