Solve 1.75*(-3/5)div(-14/9)div(-0.2)

$$1.75 \times ( - \frac { 3 } { 5 } ) \div ( - \frac { 14 } { 9 } ) \div ( - 0.2 )$$

Evaluate

$$-3.375$$

Solution Steps

Express \frac{\frac{1.75\left(-\frac{3}{5}\right)}{-\frac{14}{9}}}{-0.2} as a single fraction.

$$\frac{1.75\left(-\frac{3}{5}\right)}{-\frac{14}{9}\left(-0.2\right)}$$

Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{7}{4}\left(-\frac{3}{5}\right)}{-\frac{14}{9}\left(-0.2\right)}$$

Multiply \frac{7}{4} times -\frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{7\left(-3\right)}{4\times 5}}{-\frac{14}{9}\left(-0.2\right)}$$

Do the multiplications in the fraction \frac{7\left(-3\right)}{4\times 5}.

$$\frac{\frac{-21}{20}}{-\frac{14}{9}\left(-0.2\right)}$$

Fraction \frac{-21}{20} can be rewritten as -\frac{21}{20} by extracting the negative sign.

$$\frac{-\frac{21}{20}}{-\frac{14}{9}\left(-0.2\right)}$$

Convert decimal number -0.2 to fraction -\frac{2}{10}. Reduce the fraction -\frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{21}{20}}{-\frac{14}{9}\left(-\frac{1}{5}\right)}$$

Multiply -\frac{14}{9} times -\frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\frac{21}{20}}{\frac{-14\left(-1\right)}{9\times 5}}$$

Do the multiplications in the fraction \frac{-14\left(-1\right)}{9\times 5}.

$$\frac{-\frac{21}{20}}{\frac{14}{45}}$$

Divide -\frac{21}{20} by \frac{14}{45} by multiplying -\frac{21}{20} by the reciprocal of \frac{14}{45}.

$$-\frac{21}{20}\times \frac{45}{14}$$

Multiply -\frac{21}{20} times \frac{45}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-21\times 45}{20\times 14}$$

Do the multiplications in the fraction \frac{-21\times 45}{20\times 14}.

$$\frac{-945}{280}$$

Reduce the fraction \frac{-945}{280} to lowest terms by extracting and canceling out 35.

$$-\frac{27}{8}$$

Factor

$$-3.375$$