Solve (-3)*5/6*(-9/5)*(-1/4)

$$(-3) \times \frac{ 5 }{ 6 } \times (- \frac{ 9 }{ 5 } ) \times (- \frac{ 1 }{ 4 } )$$

Evaluate

$$-\frac{9}{8}=-1.125$$

Solution Steps

Express -3\times \frac{5}{6} as a single fraction.

$$\frac{-3\times 5}{6}\left(-\frac{9}{5}\right)\left(-\frac{1}{4}\right)$$

Multiply -3 and 5 to get -15.

$$\frac{-15}{6}\left(-\frac{9}{5}\right)\left(-\frac{1}{4}\right)$$

Reduce the fraction \frac{-15}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{5}{2}\left(-\frac{9}{5}\right)\left(-\frac{1}{4}\right)$$

Multiply -\frac{5}{2} times -\frac{9}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-9\right)}{2\times 5}\left(-\frac{1}{4}\right)$$

Do the multiplications in the fraction \frac{-5\left(-9\right)}{2\times 5}.

$$\frac{45}{10}\left(-\frac{1}{4}\right)$$

Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$\frac{9}{2}\left(-\frac{1}{4}\right)$$

Multiply \frac{9}{2} times -\frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\left(-1\right)}{2\times 4}$$

Do the multiplications in the fraction \frac{9\left(-1\right)}{2\times 4}.

$$\frac{-9}{8}$$

Fraction \frac{-9}{8} can be rewritten as -\frac{9}{8} by extracting the negative sign.

$$-\frac{9}{8}$$

Factor

$$-\frac{9}{8} = -1\frac{1}{8} = -1.125$$