Solve 22/3*(-5)*3/4*2/5

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

Evaluate

$$-4$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+2}{3}\left(-5\right)\times \frac{3}{4}\times \frac{2}{5}$$

Add 6 and 2 to get 8.

$$\frac{8}{3}\left(-5\right)\times \frac{3}{4}\times \frac{2}{5}$$

Express \frac{8}{3}\left(-5\right) as a single fraction.

$$\frac{8\left(-5\right)}{3}\times \frac{3}{4}\times \frac{2}{5}$$

Multiply 8 and -5 to get -40.

$$\frac{-40}{3}\times \frac{3}{4}\times \frac{2}{5}$$

Fraction \frac{-40}{3} can be rewritten as -\frac{40}{3} by extracting the negative sign.

$$-\frac{40}{3}\times \frac{3}{4}\times \frac{2}{5}$$

Multiply -\frac{40}{3} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-40\times 3}{3\times 4}\times \frac{2}{5}$$

Cancel out 3 in both numerator and denominator.

$$\frac{-40}{4}\times \frac{2}{5}$$

Divide -40 by 4 to get -10.

$$-10\times \frac{2}{5}$$

Express -10\times \frac{2}{5} as a single fraction.

$$\frac{-10\times 2}{5}$$

Multiply -10 and 2 to get -20.

$$\frac{-20}{5}$$

Divide -20 by 5 to get -4.

$$-4$$

Factor

$$-4$$