Solve -(5/3)^2+4*5/3+5

$$- ( \frac { 5 } { 3 } ) ^ { 2 } + 4 \times \frac { 5 } { 3 } + 5$$

Evaluate

$$\frac{80}{9}\approx 8.888888889$$

Solution Steps

Calculate \frac{5}{3} to the power of 2 and get \frac{25}{9}.

$$-\frac{25}{9}+4\times \frac{5}{3}+5$$

Express 4\times \frac{5}{3} as a single fraction.

$$-\frac{25}{9}+\frac{4\times 5}{3}+5$$

Multiply 4 and 5 to get 20.

$$-\frac{25}{9}+\frac{20}{3}+5$$

Least common multiple of 9 and 3 is 9. Convert -\frac{25}{9} and \frac{20}{3} to fractions with denominator 9.

$$-\frac{25}{9}+\frac{60}{9}+5$$

Since -\frac{25}{9} and \frac{60}{9} have the same denominator, add them by adding their numerators.

$$\frac{-25+60}{9}+5$$

Add -25 and 60 to get 35.

$$\frac{35}{9}+5$$

Convert 5 to fraction \frac{45}{9}.

$$\frac{35}{9}+\frac{45}{9}$$

Since \frac{35}{9} and \frac{45}{9} have the same denominator, add them by adding their numerators.

$$\frac{35+45}{9}$$

Add 35 and 45 to get 80.

$$\frac{80}{9}$$

Factor

$$\frac{2 ^ {4} \cdot 5}{3 ^ {2}} = 8\frac{8}{9} = 8.88888888888889$$