Solve (-1/3)(-3/8)(6/7)(4/9)*(4)

$$( \frac{ -1 }{ 3 } )( \frac{ -3 }{ 8 } )( \frac{ 6 }{ 7 } )( \frac{ 4 }{ 9 } ) \times (4)$$

Evaluate

$$\frac{4}{21}\approx 0.19047619$$

Solution Steps

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$-\frac{1}{3}\times \frac{-3}{8}\times \frac{6}{7}\times \frac{4}{9}\times 4$$

Fraction \frac{-3}{8} can be rewritten as -\frac{3}{8} by extracting the negative sign.

$$-\frac{1}{3}\left(-\frac{3}{8}\right)\times \frac{6}{7}\times \frac{4}{9}\times 4$$

Multiply -\frac{1}{3} times -\frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\left(-3\right)}{3\times 8}\times \frac{6}{7}\times \frac{4}{9}\times 4$$

Do the multiplications in the fraction \frac{-\left(-3\right)}{3\times 8}.

$$\frac{3}{24}\times \frac{6}{7}\times \frac{4}{9}\times 4$$

Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.

$$\frac{1}{8}\times \frac{6}{7}\times \frac{4}{9}\times 4$$

Multiply \frac{1}{8} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 6}{8\times 7}\times \frac{4}{9}\times 4$$

Do the multiplications in the fraction \frac{1\times 6}{8\times 7}.

$$\frac{6}{56}\times \frac{4}{9}\times 4$$

Reduce the fraction \frac{6}{56} to lowest terms by extracting and canceling out 2.

$$\frac{3}{28}\times \frac{4}{9}\times 4$$

Multiply \frac{3}{28} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 4}{28\times 9}\times 4$$

Do the multiplications in the fraction \frac{3\times 4}{28\times 9}.

$$\frac{12}{252}\times 4$$

Reduce the fraction \frac{12}{252} to lowest terms by extracting and canceling out 12.

$$\frac{1}{21}\times 4$$

Multiply \frac{1}{21} and 4 to get \frac{4}{21}.

$$\frac{4}{21}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 7} = 0.19047619047619047$$