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

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

Arvuta

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

Lahenduse etapid

Korrutage 1 ja \frac{3}{5}, et leida \frac{3}{5}.

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

Lahutage \frac{3}{5} väärtusest 2, et leida \frac{7}{5}.

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

Arvutage 2 aste \frac{7}{5} ja leidke \frac{49}{25}.

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

Liitke \frac{49}{25} ja \frac{5}{8}, et leida \frac{517}{200}.

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

Lahutage \frac{3}{4} väärtusest \frac{517}{200}, et leida \frac{367}{200}.

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

Korrutage \frac{6}{5} ja \frac{1}{3}, et leida \frac{2}{5}.

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

Korrutage \frac{2}{5} ja 7, et leida \frac{14}{5}.

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

Korrutage \frac{14}{5} ja \frac{1}{2}, et leida \frac{7}{5}.

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

Lahutage \frac{7}{5} väärtusest \frac{367}{200}, et leida \frac{87}{200}.

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

Lahutage \frac{6}{5} väärtusest 5, et leida \frac{19}{5}.

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

Jagage \frac{87}{200} väärtusega \frac{19}{5}, korrutades \frac{87}{200} väärtuse \frac{19}{5} pöördväärtusega.

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

Korrutage \frac{87}{200} ja \frac{5}{19}, et leida \frac{87}{760}.

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

Lahuta teguriteks

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