Resol [(2-1*3/5)^2+(5/8-3/4)-(6/5*frac{1}{3})(7*frac{1}{2})]div(5-frac{6}{5})

$$[ ( 2 - 1 \cdot \frac { 3 } { 5 } ) ^ { 2 } + ( \frac { 5 } { 8 } - \frac { 3 } { 4 } ) - ( \frac { 6 } { 5 } \cdot \frac { 1 } { 3 } ) ( 7 \cdot \frac { 1 } { 2 } ) ] \div ( 5 - \frac { 6 } { 5 } )$$

Calcula

$$\frac{87}{760}\approx 0,114473684$$

Passos de solució

Multipliqueu 1 per \frac{3}{5} per obtenir \frac{3}{5}.

$$\frac{\left(2-\frac{3}{5}\right)^{2}+\frac{5}{8}-\frac{3}{4}-\frac{6}{5}\times \frac{1}{3}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

Resteu 2 de \frac{3}{5} per obtenir \frac{7}{5}.

$$\frac{\left(\frac{7}{5}\right)^{2}+\frac{5}{8}-\frac{3}{4}-\frac{6}{5}\times \frac{1}{3}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

Calculeu \frac{7}{5} elevat a 2 per obtenir \frac{49}{25}.

$$\frac{\frac{49}{25}+\frac{5}{8}-\frac{3}{4}-\frac{6}{5}\times \frac{1}{3}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

Sumeu \frac{49}{25} més \frac{5}{8} per obtenir \frac{517}{200}.

$$\frac{\frac{517}{200}-\frac{3}{4}-\frac{6}{5}\times \frac{1}{3}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

Resteu \frac{517}{200} de \frac{3}{4} per obtenir \frac{367}{200}.

$$\frac{\frac{367}{200}-\frac{6}{5}\times \frac{1}{3}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

Multipliqueu \frac{6}{5} per \frac{1}{3} per obtenir \frac{2}{5}.

$$\frac{\frac{367}{200}-\frac{2}{5}\times 7\times \frac{1}{2}}{5-\frac{6}{5}}$$

Multipliqueu \frac{2}{5} per 7 per obtenir \frac{14}{5}.

$$\frac{\frac{367}{200}-\frac{14}{5}\times \frac{1}{2}}{5-\frac{6}{5}}$$

Multipliqueu \frac{14}{5} per \frac{1}{2} per obtenir \frac{7}{5}.

$$\frac{\frac{367}{200}-\frac{7}{5}}{5-\frac{6}{5}}$$

Resteu \frac{367}{200} de \frac{7}{5} per obtenir \frac{87}{200}.

$$\frac{\frac{87}{200}}{5-\frac{6}{5}}$$

Resteu 5 de \frac{6}{5} per obtenir \frac{19}{5}.

$$\frac{\frac{87}{200}}{\frac{19}{5}}$$

Dividiu \frac{87}{200} per \frac{19}{5} multiplicant \frac{87}{200} pel recíproc de \frac{19}{5}.

$$\frac{87}{200}\times \frac{5}{19}$$

Multipliqueu \frac{87}{200} per \frac{5}{19} per obtenir \frac{87}{760}.

$$\frac{87}{760}$$

Factoritzar

$$\frac{3 \cdot 29}{2 ^ {3} \cdot 5 \cdot 19} = 0,11447368421052631$$