Solve 5/4*(-1.2)*(-1/9)

$$\frac { 5 } { 4 } \times ( - 1.2 ) \times ( - \frac { 1 } { 9 } )$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Convert decimal number -1.2 to fraction -\frac{12}{10}. Reduce the fraction -\frac{12}{10} to lowest terms by extracting and canceling out 2.

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

Multiply \frac{5}{4} times -\frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 5 in both numerator and denominator.

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

Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{2}\left(-\frac{1}{9}\right)$$

Multiply -\frac{3}{2} times -\frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\left(-1\right)}{2\times 9}$$

Do the multiplications in the fraction \frac{-3\left(-1\right)}{2\times 9}.

$$\frac{3}{18}$$

Reduce the fraction \frac{3}{18} to lowest terms by extracting and canceling out 3.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$