Solve 2/30*(-5/4)*(-14/15)=

$$\frac { 2 } { 30 } \cdot ( - \frac { 5 } { 4 } ) \cdot ( - \frac { 14 } { 15 } ) =$$

Evaluate

$$\frac{7}{90}\approx 0.077777778$$

Solution Steps

Reduce the fraction \frac{2}{30} to lowest terms by extracting and canceling out 2.

$$\frac{1}{15}\left(-\frac{5}{4}\right)\left(-\frac{14}{15}\right)$$

Multiply \frac{1}{15} times -\frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-5\right)}{15\times 4}\left(-\frac{14}{15}\right)$$

Do the multiplications in the fraction \frac{1\left(-5\right)}{15\times 4}.

$$\frac{-5}{60}\left(-\frac{14}{15}\right)$$

Reduce the fraction \frac{-5}{60} to lowest terms by extracting and canceling out 5.

$$-\frac{1}{12}\left(-\frac{14}{15}\right)$$

Multiply -\frac{1}{12} times -\frac{14}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\left(-14\right)}{12\times 15}$$

Do the multiplications in the fraction \frac{-\left(-14\right)}{12\times 15}.

$$\frac{14}{180}$$

Reduce the fraction \frac{14}{180} to lowest terms by extracting and canceling out 2.

$$\frac{7}{90}$$

Factor

$$\frac{7}{2 \cdot 3 ^ {2} \cdot 5} = 0.07777777777777778$$