Solve 0.24*11/6*(-5/14)

$$0.24 \times 1 \frac { 1 } { 6 } \times ( - \frac { 5 } { 14 } )$$

Evaluate

$$-0.1$$

Solution Steps

Multiply 1 and 6 to get 6.

$$0.24\times \frac{6+1}{6}\left(-\frac{5}{14}\right)$$

Add 6 and 1 to get 7.

$$0.24\times \frac{7}{6}\left(-\frac{5}{14}\right)$$

Convert decimal number 0.24 to fraction \frac{24}{100}. Reduce the fraction \frac{24}{100} to lowest terms by extracting and canceling out 4.

$$\frac{6}{25}\times \frac{7}{6}\left(-\frac{5}{14}\right)$$

Multiply \frac{6}{25} times \frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 7}{25\times 6}\left(-\frac{5}{14}\right)$$

Cancel out 6 in both numerator and denominator.

$$\frac{7}{25}\left(-\frac{5}{14}\right)$$

Multiply \frac{7}{25} times -\frac{5}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\left(-5\right)}{25\times 14}$$

Do the multiplications in the fraction \frac{7\left(-5\right)}{25\times 14}.

$$\frac{-35}{350}$$

Reduce the fraction \frac{-35}{350} to lowest terms by extracting and canceling out 35.

$$-\frac{1}{10}$$

Factor

$$-0.1$$