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

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

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

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

$$\frac{2}{5}\left(-\frac{4}{3}+\frac{9}{3}\right)$$

Since -\frac{4}{3} and \frac{9}{3} have the same denominator, add them by adding their numerators.

$$\frac{2}{5}\times \frac{-4+9}{3}$$

Add -4 and 9 to get 5.

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

Multiply \frac{2}{5} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 5 in both numerator and denominator.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$