Solve -6.8*1/9*(-1/4)*(-2.7)

$$-6.8 \times \frac{ 1 }{ 9 } \times (- \frac{ 1 }{ 4 } ) \times (-2.7)$$

Evaluate

$$-0.51$$

Solution Steps

Convert decimal number -6.8 to fraction -\frac{68}{10}. Reduce the fraction -\frac{68}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{34}{5}\times \frac{1}{9}\left(-\frac{1}{4}\right)\left(-2.7\right)$$

Multiply -\frac{34}{5} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-34}{5\times 9}\left(-\frac{1}{4}\right)\left(-2.7\right)$$

Do the multiplications in the fraction \frac{-34}{5\times 9}.

$$\frac{-34}{45}\left(-\frac{1}{4}\right)\left(-2.7\right)$$

Fraction \frac{-34}{45} can be rewritten as -\frac{34}{45} by extracting the negative sign.

$$-\frac{34}{45}\left(-\frac{1}{4}\right)\left(-2.7\right)$$

Multiply -\frac{34}{45} times -\frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-34\left(-1\right)}{45\times 4}\left(-2.7\right)$$

Do the multiplications in the fraction \frac{-34\left(-1\right)}{45\times 4}.

$$\frac{34}{180}\left(-2.7\right)$$

Reduce the fraction \frac{34}{180} to lowest terms by extracting and canceling out 2.

$$\frac{17}{90}\left(-2.7\right)$$

Convert decimal number -2.7 to fraction -\frac{27}{10}.

$$\frac{17}{90}\left(-\frac{27}{10}\right)$$

Multiply \frac{17}{90} times -\frac{27}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\left(-27\right)}{90\times 10}$$

Do the multiplications in the fraction \frac{17\left(-27\right)}{90\times 10}.

$$\frac{-459}{900}$$

Reduce the fraction \frac{-459}{900} to lowest terms by extracting and canceling out 9.

$$-\frac{51}{100}$$

Factor

$$-0.51$$