Solve (26^2+39/6542)-75+82

$$( { 26 }^{ 2 } + \frac{ 39 }{ 65 } 42)-75+82$$

Evaluate

$$\frac{3541}{5}=708.2$$

Solution Steps

Calculate 26 to the power of 2 and get 676.

$$676+\frac{39}{65}\times 42-75+82$$

Reduce the fraction \frac{39}{65} to lowest terms by extracting and canceling out 13.

$$676+\frac{3}{5}\times 42-75+82$$

Express \frac{3}{5}\times 42 as a single fraction.

$$676+\frac{3\times 42}{5}-75+82$$

Multiply 3 and 42 to get 126.

$$676+\frac{126}{5}-75+82$$

Convert 676 to fraction \frac{3380}{5}.

$$\frac{3380}{5}+\frac{126}{5}-75+82$$

Since \frac{3380}{5} and \frac{126}{5} have the same denominator, add them by adding their numerators.

$$\frac{3380+126}{5}-75+82$$

Add 3380 and 126 to get 3506.

$$\frac{3506}{5}-75+82$$

Convert 75 to fraction \frac{375}{5}.

$$\frac{3506}{5}-\frac{375}{5}+82$$

Since \frac{3506}{5} and \frac{375}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3506-375}{5}+82$$

Subtract 375 from 3506 to get 3131.

$$\frac{3131}{5}+82$$

Convert 82 to fraction \frac{410}{5}.

$$\frac{3131}{5}+\frac{410}{5}$$

Since \frac{3131}{5} and \frac{410}{5} have the same denominator, add them by adding their numerators.

$$\frac{3131+410}{5}$$

Add 3131 and 410 to get 3541.

$$\frac{3541}{5}$$

Factor

$$\frac{3541}{5} = 708\frac{1}{5} = 708.2$$