Resolver -11/2-3/4:(11/2-1/3)^2=

$$- 1 \frac { 1 } { 2 } - \frac { 3 } { 4 } : ( 1 \frac { 1 } { 2 } - \frac { 1 } { 3 } ) ^ { 2 } =$$

Avaliar

$$-\frac{201}{98}\approx -2,051020408$$

Passos Para a Resolução

Multiplique 1 e 2 para obter 2.

$$-\frac{2+1}{2}-\frac{\frac{3}{4}}{\left(\frac{1\times 2+1}{2}-\frac{1}{3}\right)^{2}}$$

Some 2 e 1 para obter 3.

$$-\frac{3}{2}-\frac{\frac{3}{4}}{\left(\frac{1\times 2+1}{2}-\frac{1}{3}\right)^{2}}$$

Multiplique 1 e 2 para obter 2.

$$-\frac{3}{2}-\frac{\frac{3}{4}}{\left(\frac{2+1}{2}-\frac{1}{3}\right)^{2}}$$

Some 2 e 1 para obter 3.

$$-\frac{3}{2}-\frac{\frac{3}{4}}{\left(\frac{3}{2}-\frac{1}{3}\right)^{2}}$$

Subtraia \frac{1}{3} de \frac{3}{2} para obter \frac{7}{6}.

$$-\frac{3}{2}-\frac{\frac{3}{4}}{\left(\frac{7}{6}\right)^{2}}$$

Calcule \frac{7}{6} elevado a 2 e obtenha \frac{49}{36}.

$$-\frac{3}{2}-\frac{\frac{3}{4}}{\frac{49}{36}}$$

Divida \frac{3}{4} por \frac{49}{36} ao multiplicar \frac{3}{4} pelo recíproco de \frac{49}{36}.

$$-\frac{3}{2}-\frac{3}{4}\times \frac{36}{49}$$

Multiplique \frac{3}{4} e \frac{36}{49} para obter \frac{27}{49}.

$$-\frac{3}{2}-\frac{27}{49}$$

Subtraia \frac{27}{49} de -\frac{3}{2} para obter -\frac{201}{98}.

$$-\frac{201}{98}$$

Fatorizar

$$-\frac{201}{98} = -2\frac{5}{98} = -2,0510204081632653$$