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

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

Izrēķināt

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

Atrisinājuma darbības

Reiziniet 1 un \frac{3}{5}, lai iegūtu \frac{3}{5}.

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

Atņemiet \frac{3}{5} no 2, lai iegūtu \frac{7}{5}.

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

Aprēķiniet \frac{7}{5} pakāpē 2 un iegūstiet \frac{49}{25}.

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

Saskaitiet \frac{49}{25} un \frac{5}{8}, lai iegūtu \frac{517}{200}.

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

Atņemiet \frac{3}{4} no \frac{517}{200}, lai iegūtu \frac{367}{200}.

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

Reiziniet \frac{6}{5} un \frac{1}{3}, lai iegūtu \frac{2}{5}.

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

Reiziniet \frac{2}{5} un 7, lai iegūtu \frac{14}{5}.

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

Reiziniet \frac{14}{5} un \frac{1}{2}, lai iegūtu \frac{7}{5}.

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

Atņemiet \frac{7}{5} no \frac{367}{200}, lai iegūtu \frac{87}{200}.

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

Atņemiet \frac{6}{5} no 5, lai iegūtu \frac{19}{5}.

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

Daliet \frac{87}{200} ar \frac{19}{5}, reizinot \frac{87}{200} ar apgriezto daļskaitli \frac{19}{5} .

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

Reiziniet \frac{87}{200} un \frac{5}{19}, lai iegūtu \frac{87}{760}.

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

Sadalīt reizinātājos

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