Solve 10/-8*-2/7*(-9)

$$\frac { 10 } { - 8 } \cdot \frac { - 2 } { 7 } \cdot ( - 9 )$$

Evaluate

$$-\frac{45}{14}\approx -3.214285714$$

Solution Steps

Reduce the fraction \frac{10}{-8} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{4}\times \frac{-2}{7}\left(-9\right)$$

Fraction \frac{-2}{7} can be rewritten as -\frac{2}{7} by extracting the negative sign.

$$-\frac{5}{4}\left(-\frac{2}{7}\right)\left(-9\right)$$

Multiply -\frac{5}{4} times -\frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-2\right)}{4\times 7}\left(-9\right)$$

Do the multiplications in the fraction \frac{-5\left(-2\right)}{4\times 7}.

$$\frac{10}{28}\left(-9\right)$$

Reduce the fraction \frac{10}{28} to lowest terms by extracting and canceling out 2.

$$\frac{5}{14}\left(-9\right)$$

Express \frac{5}{14}\left(-9\right) as a single fraction.

$$\frac{5\left(-9\right)}{14}$$

Multiply 5 and -9 to get -45.

$$\frac{-45}{14}$$

Fraction \frac{-45}{14} can be rewritten as -\frac{45}{14} by extracting the negative sign.

$$-\frac{45}{14}$$

Factor

$$-\frac{45}{14} = -3\frac{3}{14} = -3.2142857142857144$$