Solve -2/5*1/2*(-10/7)=

$$- \frac{ 2 }{ 5 } \times \frac{ 1 }{ 2 } \times (- \frac{ 10 }{ 7 } )=$$

Evaluate

$$\frac{2}{7}\approx 0.285714286$$

Solution Steps

Multiply -\frac{2}{5} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2}{5\times 2}\left(-\frac{10}{7}\right)$$

Do the multiplications in the fraction \frac{-2}{5\times 2}.

$$\frac{-2}{10}\left(-\frac{10}{7}\right)$$

Reduce the fraction \frac{-2}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{5}\left(-\frac{10}{7}\right)$$

Multiply -\frac{1}{5} times -\frac{10}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\left(-10\right)}{5\times 7}$$

Do the multiplications in the fraction \frac{-\left(-10\right)}{5\times 7}.

$$\frac{10}{35}$$

Reduce the fraction \frac{10}{35} to lowest terms by extracting and canceling out 5.

$$\frac{2}{7}$$

Factor

$$\frac{2}{7} = 0.2857142857142857$$