Solve 3(4-(-5/3))+5(-5/3)

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

Evaluate

$$\frac{26}{3}\approx 8.666666667$$

Solution Steps

The opposite of -\frac{5}{3} is \frac{5}{3}.

$$3\left(4+\frac{5}{3}\right)+5\left(-\frac{5}{3}\right)$$

Convert 4 to fraction \frac{12}{3}.

$$3\left(\frac{12}{3}+\frac{5}{3}\right)+5\left(-\frac{5}{3}\right)$$

Since \frac{12}{3} and \frac{5}{3} have the same denominator, add them by adding their numerators.

$$3\times \frac{12+5}{3}+5\left(-\frac{5}{3}\right)$$

Add 12 and 5 to get 17.

$$3\times \frac{17}{3}+5\left(-\frac{5}{3}\right)$$

Cancel out 3 and 3.

$$17+5\left(-\frac{5}{3}\right)$$

Express 5\left(-\frac{5}{3}\right) as a single fraction.

$$17+\frac{5\left(-5\right)}{3}$$

Multiply 5 and -5 to get -25.

$$17+\frac{-25}{3}$$

Fraction \frac{-25}{3} can be rewritten as -\frac{25}{3} by extracting the negative sign.

$$17-\frac{25}{3}$$

Convert 17 to fraction \frac{51}{3}.

$$\frac{51}{3}-\frac{25}{3}$$

Since \frac{51}{3} and \frac{25}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-25}{3}$$

Subtract 25 from 51 to get 26.

$$\frac{26}{3}$$

Factor

$$\frac{2 \cdot 13}{3} = 8\frac{2}{3} = 8.666666666666666$$