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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Immultiplika 1 u \frac{3}{5} biex tikseb \frac{3}{5}.

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

Naqqas \frac{3}{5} minn 2 biex tikseb \frac{7}{5}.

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

Ikkalkula \frac{7}{5} bil-power ta' 2 u tikseb \frac{49}{25}.

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

Żid \frac{49}{25} u \frac{5}{8} biex tikseb \frac{517}{200}.

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

Naqqas \frac{3}{4} minn \frac{517}{200} biex tikseb \frac{367}{200}.

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

Immultiplika \frac{6}{5} u \frac{1}{3} biex tikseb \frac{2}{5}.

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

Immultiplika \frac{2}{5} u 7 biex tikseb \frac{14}{5}.

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

Immultiplika \frac{14}{5} u \frac{1}{2} biex tikseb \frac{7}{5}.

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

Naqqas \frac{7}{5} minn \frac{367}{200} biex tikseb \frac{87}{200}.

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

Naqqas \frac{6}{5} minn 5 biex tikseb \frac{19}{5}.

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

Iddividi \frac{87}{200} b'\frac{19}{5} billi timmultiplika \frac{87}{200} bir-reċiproku ta' \frac{19}{5}.

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

Immultiplika \frac{87}{200} u \frac{5}{19} biex tikseb \frac{87}{760}.

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

Fattur

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