Solve 1/3-5^2+2(-5)+3

$$\frac{ 1 }{ 3 } { -5 }^{ 2 } +2(-5)+3$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

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

$$\frac{1}{3}\times 25+2\left(-5\right)+3$$

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

$$\frac{25}{3}+2\left(-5\right)+3$$

Multiply 2 and -5 to get -10.

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

Convert 10 to fraction \frac{30}{3}.

$$\frac{25}{3}-\frac{30}{3}+3$$

Since \frac{25}{3} and \frac{30}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-30}{3}+3$$

Subtract 30 from 25 to get -5.

$$-\frac{5}{3}+3$$

Convert 3 to fraction \frac{9}{3}.

$$-\frac{5}{3}+\frac{9}{3}$$

Since -\frac{5}{3} and \frac{9}{3} have the same denominator, add them by adding their numerators.

$$\frac{-5+9}{3}$$

Add -5 and 9 to get 4.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$