Solve 341/100*99/10*(-19/50)div[19/100*3frac{3}{10}*(-1frac{1}{10})]

$$3 \frac { 41 } { 100 } \times 9 \frac { 9 } { 10 } \times ( - \frac { 19 } { 50 } ) \div [ \frac { 19 } { 100 } \times 3 \frac { 3 } { 10 } \times ( - 1 \frac { 1 } { 10 } ) ]$$

Evaluate

$$\frac{93}{5}=18.6$$

Solution Steps

Multiply 3 and 100 to get 300.

$$\frac{\frac{300+41}{100}\times \frac{9\times 10+9}{10}\left(-\frac{19}{50}\right)}{\frac{19}{100}\times \frac{3\times 10+3}{10}\left(-\frac{1\times 10+1}{10}\right)}$$

Add 300 and 41 to get 341.

$$\frac{\frac{341}{100}\times \frac{9\times 10+9}{10}\left(-\frac{19}{50}\right)}{\frac{19}{100}\times \frac{3\times 10+3}{10}\left(-\frac{1\times 10+1}{10}\right)}$$

Multiply 9 and 10 to get 90.

$$\frac{\frac{341}{100}\times \frac{90+9}{10}\left(-\frac{19}{50}\right)}{\frac{19}{100}\times \frac{3\times 10+3}{10}\left(-\frac{1\times 10+1}{10}\right)}$$

Add 90 and 9 to get 99.

$$\frac{\frac{341}{100}\times \frac{99}{10}\left(-\frac{19}{50}\right)}{\frac{19}{100}\times \frac{3\times 10+3}{10}\left(-\frac{1\times 10+1}{10}\right)}$$

Multiply \frac{341}{100} times \frac{99}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{341\times 99}{100\times 10}\left(-\frac{19}{50}\right)}{\frac{19}{100}\times \frac{3\times 10+3}{10}\left(-\frac{1\times 10+1}{10}\right)}$$

Do the multiplications in the fraction \frac{341\times 99}{100\times 10}.

$$\frac{\frac{33759}{1000}\left(-\frac{19}{50}\right)}{\frac{19}{100}\times \frac{3\times 10+3}{10}\left(-\frac{1\times 10+1}{10}\right)}$$

Multiply \frac{33759}{1000} times -\frac{19}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{33759\left(-19\right)}{1000\times 50}}{\frac{19}{100}\times \frac{3\times 10+3}{10}\left(-\frac{1\times 10+1}{10}\right)}$$

Do the multiplications in the fraction \frac{33759\left(-19\right)}{1000\times 50}.

$$\frac{\frac{-641421}{50000}}{\frac{19}{100}\times \frac{3\times 10+3}{10}\left(-\frac{1\times 10+1}{10}\right)}$$

Fraction \frac{-641421}{50000} can be rewritten as -\frac{641421}{50000} by extracting the negative sign.

$$\frac{-\frac{641421}{50000}}{\frac{19}{100}\times \frac{3\times 10+3}{10}\left(-\frac{1\times 10+1}{10}\right)}$$

Multiply 3 and 10 to get 30.

$$\frac{-\frac{641421}{50000}}{\frac{19}{100}\times \frac{30+3}{10}\left(-\frac{1\times 10+1}{10}\right)}$$

Add 30 and 3 to get 33.

$$\frac{-\frac{641421}{50000}}{\frac{19}{100}\times \frac{33}{10}\left(-\frac{1\times 10+1}{10}\right)}$$

Multiply \frac{19}{100} times \frac{33}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\frac{641421}{50000}}{\frac{19\times 33}{100\times 10}\left(-\frac{1\times 10+1}{10}\right)}$$

Do the multiplications in the fraction \frac{19\times 33}{100\times 10}.

$$\frac{-\frac{641421}{50000}}{\frac{627}{1000}\left(-\frac{1\times 10+1}{10}\right)}$$

Multiply 1 and 10 to get 10.

$$\frac{-\frac{641421}{50000}}{\frac{627}{1000}\left(-\frac{10+1}{10}\right)}$$

Add 10 and 1 to get 11.

$$\frac{-\frac{641421}{50000}}{\frac{627}{1000}\left(-\frac{11}{10}\right)}$$

Multiply \frac{627}{1000} times -\frac{11}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\frac{641421}{50000}}{\frac{627\left(-11\right)}{1000\times 10}}$$

Do the multiplications in the fraction \frac{627\left(-11\right)}{1000\times 10}.

$$\frac{-\frac{641421}{50000}}{\frac{-6897}{10000}}$$

Fraction \frac{-6897}{10000} can be rewritten as -\frac{6897}{10000} by extracting the negative sign.

$$\frac{-\frac{641421}{50000}}{-\frac{6897}{10000}}$$

Divide -\frac{641421}{50000} by -\frac{6897}{10000} by multiplying -\frac{641421}{50000} by the reciprocal of -\frac{6897}{10000}.

$$-\frac{641421}{50000}\left(-\frac{10000}{6897}\right)$$

Multiply -\frac{641421}{50000} times -\frac{10000}{6897} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-641421\left(-10000\right)}{50000\times 6897}$$

Do the multiplications in the fraction \frac{-641421\left(-10000\right)}{50000\times 6897}.

$$\frac{6414210000}{344850000}$$

Reduce the fraction \frac{6414210000}{344850000} to lowest terms by extracting and canceling out 68970000.

$$\frac{93}{5}$$

Factor

$$\frac{3 \cdot 31}{5} = 18\frac{3}{5} = 18.6$$