Solve -5^2/6-2(5)+3

$$\frac{ { -5 }^{ 2 } }{ 6 } -2(5)+3$$

Evaluate

$$-\frac{17}{6}\approx -2.833333333$$

Solution Steps

Calculate -5 to the power of 2 and get 25.

$$\frac{25}{6}-2\times 5+3$$

Multiply 2 and 5 to get 10.

$$\frac{25}{6}-10+3$$

Convert 10 to fraction \frac{60}{6}.

$$\frac{25}{6}-\frac{60}{6}+3$$

Since \frac{25}{6} and \frac{60}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-60}{6}+3$$

Subtract 60 from 25 to get -35.

$$-\frac{35}{6}+3$$

Convert 3 to fraction \frac{18}{6}.

$$-\frac{35}{6}+\frac{18}{6}$$

Since -\frac{35}{6} and \frac{18}{6} have the same denominator, add them by adding their numerators.

$$\frac{-35+18}{6}$$

Add -35 and 18 to get -17.

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

Factor

$$-\frac{17}{6} = -2\frac{5}{6} = -2.8333333333333335$$