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

$$- \frac { 5 } { 3 } - 4 \cdot ( - \frac { 2 } { 3 } ) \cdot 2$$

Evaluate

$$\frac{11}{3}\approx 3.666666667$$

Solution Steps

Express 4\left(-\frac{2}{3}\right) as a single fraction.

$$-\frac{5}{3}-\frac{4\left(-2\right)}{3}\times 2$$

Multiply 4 and -2 to get -8.

$$-\frac{5}{3}-\frac{-8}{3}\times 2$$

Fraction \frac{-8}{3} can be rewritten as -\frac{8}{3} by extracting the negative sign.

$$-\frac{5}{3}-\left(-\frac{8}{3}\times 2\right)$$

Express -\frac{8}{3}\times 2 as a single fraction.

$$-\frac{5}{3}-\frac{-8\times 2}{3}$$

Multiply -8 and 2 to get -16.

$$-\frac{5}{3}-\frac{-16}{3}$$

Fraction \frac{-16}{3} can be rewritten as -\frac{16}{3} by extracting the negative sign.

$$-\frac{5}{3}-\left(-\frac{16}{3}\right)$$

The opposite of -\frac{16}{3} is \frac{16}{3}.

$$-\frac{5}{3}+\frac{16}{3}$$

Since -\frac{5}{3} and \frac{16}{3} have the same denominator, add them by adding their numerators.

$$\frac{-5+16}{3}$$

Add -5 and 16 to get 11.

$$\frac{11}{3}$$

Factor

$$\frac{11}{3} = 3\frac{2}{3} = 3.6666666666666665$$