Solve -5*2/3*(-1,5)*0,2=

$$- 5 \cdot \frac { 2 } { 3 } \cdot ( - 1,5 ) \cdot 0,2 =$$

Evaluate

$$1$$

Solution Steps

Express -5\times \frac{2}{3} as a single fraction.

$$\frac{-5\times 2}{3}\left(-1,5\right)\times 0,2$$

Multiply -5 and 2 to get -10.

$$\frac{-10}{3}\left(-1,5\right)\times 0,2$$

Fraction \frac{-10}{3} can be rewritten as -\frac{10}{3} by extracting the negative sign.

$$-\frac{10}{3}\left(-1,5\right)\times 0,2$$

Convert decimal number -1,5 to fraction -\frac{15}{10}. Reduce the fraction -\frac{15}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{10}{3}\left(-\frac{3}{2}\right)\times 0,2$$

Multiply -\frac{10}{3} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-10\left(-3\right)}{3\times 2}\times 0,2$$

Do the multiplications in the fraction \frac{-10\left(-3\right)}{3\times 2}.

$$\frac{30}{6}\times 0,2$$

Divide 30 by 6 to get 5.

$$5\times 0,2$$

Multiply 5 and 0,2 to get 1.

$$1$$

Factor

$$1$$