Resolver -3/4*221/25div33/5div(-11/2)*1frac{21}{50}*(-18)-(-2)^2*25*(-4frac{1}{20})

$$- \frac { 3 } { 4 } \times 2 \frac { 21 } { 25 } \div 3 \frac { 3 } { 5 } \div ( - 1 \frac { 1 } { 2 } ) \times 1 \frac { 21 } { 50 } \times ( - 18 ) - ( - 2 ) ^ { 2 } \times 25 \times ( - 4 \frac { 1 } { 20 } )$$

Calcular

$$\frac{197459}{500}=394.918$$

Pasos da solución

Multiplica 2 e 25 para obter 50.

$$\frac{\frac{-\frac{3}{4}\times \frac{50+21}{25}}{\frac{3\times 5+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Suma 50 e 21 para obter 71.

$$\frac{\frac{-\frac{3}{4}\times \frac{71}{25}}{\frac{3\times 5+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Multiplica -\frac{3}{4} por \frac{71}{25} mediante a multiplicación do numerador polo numerador e do denominador polo denominador.

$$\frac{\frac{\frac{-3\times 71}{4\times 25}}{\frac{3\times 5+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Fai as multiplicacións na fracción \frac{-3\times 71}{4\times 25}.

$$\frac{\frac{\frac{-213}{100}}{\frac{3\times 5+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

A fracción \frac{-213}{100} pode volver escribirse como -\frac{213}{100} extraendo o signo negativo.

$$\frac{\frac{-\frac{213}{100}}{\frac{3\times 5+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Multiplica 3 e 5 para obter 15.

$$\frac{\frac{-\frac{213}{100}}{\frac{15+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Suma 15 e 3 para obter 18.

$$\frac{\frac{-\frac{213}{100}}{\frac{18}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Divide -\frac{213}{100} entre \frac{18}{5} mediante a multiplicación de -\frac{213}{100} polo recíproco de \frac{18}{5}.

$$\frac{-\frac{213}{100}\times \frac{5}{18}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Multiplica -\frac{213}{100} por \frac{5}{18} mediante a multiplicación do numerador polo numerador e do denominador polo denominador.

$$\frac{\frac{-213\times 5}{100\times 18}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Fai as multiplicacións na fracción \frac{-213\times 5}{100\times 18}.

$$\frac{\frac{-1065}{1800}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Reduce a fracción \frac{-1065}{1800} a termos máis baixos extraendo e cancelando 15.

$$\frac{-\frac{71}{120}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Multiplica 1 e 2 para obter 2.

$$\frac{-\frac{71}{120}}{-\frac{2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Suma 2 e 1 para obter 3.

$$\frac{-\frac{71}{120}}{-\frac{3}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Divide -\frac{71}{120} entre -\frac{3}{2} mediante a multiplicación de -\frac{71}{120} polo recíproco de -\frac{3}{2}.

$$-\frac{71}{120}\left(-\frac{2}{3}\right)\times \frac{50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Multiplica -\frac{71}{120} por -\frac{2}{3} mediante a multiplicación do numerador polo numerador e do denominador polo denominador.

$$\frac{-71\left(-2\right)}{120\times 3}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Fai as multiplicacións na fracción \frac{-71\left(-2\right)}{120\times 3}.

$$\frac{142}{360}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Reduce a fracción \frac{142}{360} a termos máis baixos extraendo e cancelando 2.

$$\frac{71}{180}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Multiplica 1 e 50 para obter 50.

$$\frac{71}{180}\times \frac{50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Suma 50 e 21 para obter 71.

$$\frac{71}{180}\times \frac{71}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Multiplica \frac{71}{180} por \frac{71}{50} mediante a multiplicación do numerador polo numerador e do denominador polo denominador.

$$\frac{71\times 71}{180\times 50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Fai as multiplicacións na fracción \frac{71\times 71}{180\times 50}.

$$\frac{5041}{9000}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Expresa \frac{5041}{9000}\left(-18\right) como unha única fracción.

$$\frac{5041\left(-18\right)}{9000}-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Multiplica 5041 e -18 para obter -90738.

$$\frac{-90738}{9000}-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Reduce a fracción \frac{-90738}{9000} a termos máis baixos extraendo e cancelando 18.

$$-\frac{5041}{500}-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Calcula -2 á potencia de 2 e obtén 4.

$$-\frac{5041}{500}-4\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Multiplica 4 e 25 para obter 100.

$$-\frac{5041}{500}-100\left(-\frac{4\times 20+1}{20}\right)$$

Multiplica 4 e 20 para obter 80.

$$-\frac{5041}{500}-100\left(-\frac{80+1}{20}\right)$$

Suma 80 e 1 para obter 81.

$$-\frac{5041}{500}-100\left(-\frac{81}{20}\right)$$

Expresa 100\left(-\frac{81}{20}\right) como unha única fracción.

$$-\frac{5041}{500}-\frac{100\left(-81\right)}{20}$$

Multiplica 100 e -81 para obter -8100.

$$-\frac{5041}{500}-\frac{-8100}{20}$$

Divide -8100 entre 20 para obter -405.

$$-\frac{5041}{500}-\left(-405\right)$$

O contrario de -405 é 405.

$$-\frac{5041}{500}+405$$

Converter 405 á fracción \frac{202500}{500}.

$$-\frac{5041}{500}+\frac{202500}{500}$$

Dado que -\frac{5041}{500} e \frac{202500}{500} teñen o mesmo denominador, súmaos mediante a suma dos seus numeradores.

$$\frac{-5041+202500}{500}$$

Suma -5041 e 202500 para obter 197459.

$$\frac{197459}{500}$$

Factorizar

$$\frac{379 \cdot 521}{2 ^ {2} \cdot 5 ^ {3}} = 394\frac{459}{500} = 394.918$$