Solve -7/18*3/7*-2.4

$$- \frac{ 7 }{ 18 } \times \frac{ 3 }{ 7 } \times -2.4$$

Evaluate

$$0.4$$

Solution Steps

Multiply -\frac{7}{18} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-7\times 3}{18\times 7}\left(-2.4\right)$$

Do the multiplications in the fraction \frac{-7\times 3}{18\times 7}.

$$\frac{-21}{126}\left(-2.4\right)$$

Reduce the fraction \frac{-21}{126} to lowest terms by extracting and canceling out 21.

$$-\frac{1}{6}\left(-2.4\right)$$

Convert decimal number -2.4 to fraction -\frac{24}{10}. Reduce the fraction -\frac{24}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{6}\left(-\frac{12}{5}\right)$$

Multiply -\frac{1}{6} times -\frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\left(-12\right)}{6\times 5}$$

Do the multiplications in the fraction \frac{-\left(-12\right)}{6\times 5}.

$$\frac{12}{30}$$

Reduce the fraction \frac{12}{30} to lowest terms by extracting and canceling out 6.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$