Resolver 1/3*(3)^-1+0.25/frac{1{3}*(33/50-1)}=

$$\frac { \frac { 1 } { 3 } \cdot ( 3 ) ^ { - 1 } + 0.25 } { \frac { 1 } { 3 } \cdot ( \frac { 33 } { 50 } - 1 ) } =$$

Calcular

$$-\frac{325}{102}\approx -3.18627451$$

Pasos da solución

Calcula 3 á potencia de -1 e obtén \frac{1}{3}.

$$\frac{\frac{1}{3}\times \frac{1}{3}+0.25}{\frac{1}{3}\left(\frac{33}{50}-1\right)}$$

Multiplica \frac{1}{3} e \frac{1}{3} para obter \frac{1}{9}.

$$\frac{\frac{1}{9}+0.25}{\frac{1}{3}\left(\frac{33}{50}-1\right)}$$

Suma \frac{1}{9} e 0.25 para obter \frac{13}{36}.

$$\frac{\frac{13}{36}}{\frac{1}{3}\left(\frac{33}{50}-1\right)}$$

Resta 1 de \frac{33}{50} para obter -\frac{17}{50}.

$$\frac{\frac{13}{36}}{\frac{1}{3}\left(-\frac{17}{50}\right)}$$

Multiplica \frac{1}{3} e -\frac{17}{50} para obter -\frac{17}{150}.

$$\frac{\frac{13}{36}}{-\frac{17}{150}}$$

Divide \frac{13}{36} entre -\frac{17}{150} mediante a multiplicación de \frac{13}{36} polo recíproco de -\frac{17}{150}.

$$\frac{13}{36}\left(-\frac{150}{17}\right)$$

Multiplica \frac{13}{36} e -\frac{150}{17} para obter -\frac{325}{102}.

$$-\frac{325}{102}$$

Factorizar

$$-\frac{325}{102} = -3\frac{19}{102} = -3.1862745098039214$$