Solve 51/6-3^2/3

$$51 / 6 - 3 ^ { 2 } / 3$$

Evaluate

$$\frac{11}{2}=5.5$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 2 to get 1.

$$\frac{51}{6}-3^{1}$$

Reduce the fraction \frac{51}{6} to lowest terms by extracting and canceling out 3.

$$\frac{17}{2}-3^{1}$$

Calculate 3 to the power of 1 and get 3.

$$\frac{17}{2}-3$$

Convert 3 to fraction \frac{6}{2}.

$$\frac{17}{2}-\frac{6}{2}$$

Since \frac{17}{2} and \frac{6}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-6}{2}$$

Subtract 6 from 17 to get 11.

$$\frac{11}{2}$$

Factor

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$