Solve 5/9*(-3,5)*(-14/5)*0,6

$$\frac { 5 } { 9 } \cdot ( - 3,5 ) \cdot ( - 1 \frac { 4 } { 5 } ) \cdot 0,6$$

Evaluate

$$2,1$$

Solution Steps

Convert decimal number -3,5 to fraction -\frac{35}{10}. Reduce the fraction -\frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{5}{9}\left(-\frac{7}{2}\right)\left(-\frac{1\times 5+4}{5}\right)\times 0,6$$

Multiply \frac{5}{9} times -\frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\left(-7\right)}{9\times 2}\left(-\frac{1\times 5+4}{5}\right)\times 0,6$$

Do the multiplications in the fraction \frac{5\left(-7\right)}{9\times 2}.

$$\frac{-35}{18}\left(-\frac{1\times 5+4}{5}\right)\times 0,6$$

Fraction \frac{-35}{18} can be rewritten as -\frac{35}{18} by extracting the negative sign.

$$-\frac{35}{18}\left(-\frac{5+4}{5}\right)\times 0,6$$

Add 5 and 4 to get 9.

$$-\frac{35}{18}\left(-\frac{9}{5}\right)\times 0,6$$

Multiply -\frac{35}{18} times -\frac{9}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-35\left(-9\right)}{18\times 5}\times 0,6$$

Do the multiplications in the fraction \frac{-35\left(-9\right)}{18\times 5}.

$$\frac{315}{90}\times 0,6$$

Reduce the fraction \frac{315}{90} to lowest terms by extracting and canceling out 45.

$$\frac{7}{2}\times 0,6$$

Convert decimal number 0,6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{7}{2}\times \frac{3}{5}$$

Multiply \frac{7}{2} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 3}{2\times 5}$$

Do the multiplications in the fraction \frac{7\times 3}{2\times 5}.

$$\frac{21}{10}$$

Factor

$$\frac{3 \cdot 7}{2 \cdot 5} = 2\frac{1}{10} = 2.1$$