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

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

Izračunaj

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

Koraci rješenja

Pomnožite 1 i \frac{3}{5} da biste dobili \frac{3}{5}.

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

Oduzmite \frac{3}{5} od 2 da biste dobili \frac{7}{5}.

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

Izračunajte koliko je 2 na \frac{7}{5} da biste dobili \frac{49}{25}.

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

Dodajte \frac{49}{25} broju \frac{5}{8} da biste dobili \frac{517}{200}.

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

Oduzmite \frac{3}{4} od \frac{517}{200} da biste dobili \frac{367}{200}.

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

Pomnožite \frac{6}{5} i \frac{1}{3} da biste dobili \frac{2}{5}.

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

Pomnožite \frac{2}{5} i 7 da biste dobili \frac{14}{5}.

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

Pomnožite \frac{14}{5} i \frac{1}{2} da biste dobili \frac{7}{5}.

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

Oduzmite \frac{7}{5} od \frac{367}{200} da biste dobili \frac{87}{200}.

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

Oduzmite \frac{6}{5} od 5 da biste dobili \frac{19}{5}.

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

Podijelite \frac{87}{200} s \frac{19}{5} tako da pomnožite \frac{87}{200} s brojem recipročnim broju \frac{19}{5}.

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

Pomnožite \frac{87}{200} i \frac{5}{19} da biste dobili \frac{87}{760}.

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

Faktor

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