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

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

Luacháil

$$\frac{87}{760}\approx 0.114473684$$

Céimeanna Réitigh

Méadaigh 1 agus \frac{3}{5} chun \frac{3}{5} a fháil.

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

Dealaigh \frac{3}{5} ó 2 chun \frac{7}{5} a fháil.

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

Ríomh cumhacht \frac{7}{5} de 2 agus faigh \frac{49}{25}.

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

Suimigh \frac{49}{25} agus \frac{5}{8} chun \frac{517}{200} a fháil.

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

Dealaigh \frac{3}{4} ó \frac{517}{200} chun \frac{367}{200} a fháil.

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

Méadaigh \frac{6}{5} agus \frac{1}{3} chun \frac{2}{5} a fháil.

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

Méadaigh \frac{2}{5} agus 7 chun \frac{14}{5} a fháil.

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

Méadaigh \frac{14}{5} agus \frac{1}{2} chun \frac{7}{5} a fháil.

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

Dealaigh \frac{7}{5} ó \frac{367}{200} chun \frac{87}{200} a fháil.

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

Dealaigh \frac{6}{5} ó 5 chun \frac{19}{5} a fháil.

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

Roinn \frac{87}{200} faoi \frac{19}{5} trí \frac{87}{200} a mhéadú faoi dheilín \frac{19}{5}.

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

Méadaigh \frac{87}{200} agus \frac{5}{19} chun \frac{87}{760} a fháil.

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

Fachtóirigh

$$\frac{3 \cdot 29}{2 ^ {3} \cdot 5 \cdot 19} = 0.11447368421052631$$