Solve -3/7*3/6*(-4,5)*20

$$- \frac { 3 } { 7 } \times \frac { 3 } { 6 } \times ( - 4,5 ) \times 20$$

Evaluate

$$\frac{135}{7}\approx 19,285714286$$

Solution Steps

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{3}{7}\times \frac{1}{2}\left(-4,5\right)\times 20$$

Multiply -\frac{3}{7} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3}{7\times 2}\left(-4,5\right)\times 20$$

Do the multiplications in the fraction \frac{-3}{7\times 2}.

$$\frac{-3}{14}\left(-4,5\right)\times 20$$

Fraction \frac{-3}{14} can be rewritten as -\frac{3}{14} by extracting the negative sign.

$$-\frac{3}{14}\left(-4,5\right)\times 20$$

Convert decimal number -4,5 to fraction -\frac{45}{10}. Reduce the fraction -\frac{45}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{3}{14}\left(-\frac{9}{2}\right)\times 20$$

Multiply -\frac{3}{14} times -\frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\left(-9\right)}{14\times 2}\times 20$$

Do the multiplications in the fraction \frac{-3\left(-9\right)}{14\times 2}.

$$\frac{27}{28}\times 20$$

Express \frac{27}{28}\times 20 as a single fraction.

$$\frac{27\times 20}{28}$$

Multiply 27 and 20 to get 540.

$$\frac{540}{28}$$

Reduce the fraction \frac{540}{28} to lowest terms by extracting and canceling out 4.

$$\frac{135}{7}$$

Factor

$$\frac{5 \cdot 3 ^ {3}}{7} = 19\frac{2}{7} = 19.285714285714285$$