Solve 1/3*5^2-10/3*5

$$\frac { 1 } { 3 } \times 5 ^ { 2 } - \frac { 10 } { 3 } \times 5$$

Evaluate

$$-\frac{25}{3}\approx -8.333333333$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{1}{3}\times 25-\frac{10}{3}\times 5$$

Multiply \frac{1}{3} and 25 to get \frac{25}{3}.

$$\frac{25}{3}-\frac{10}{3}\times 5$$

Express \frac{10}{3}\times 5 as a single fraction.

$$\frac{25}{3}-\frac{10\times 5}{3}$$

Multiply 10 and 5 to get 50.

$$\frac{25}{3}-\frac{50}{3}$$

Since \frac{25}{3} and \frac{50}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-50}{3}$$

Subtract 50 from 25 to get -25.

$$-\frac{25}{3}$$

Factor

$$-\frac{25}{3} = -8\frac{1}{3} = -8.333333333333334$$