Issolvi {left(frac{1/2-frac{2/3right)}^2}{5/6}div5/6-sqrt{frac{1}{9}}}{sqrt[3]{frac{1}{8}}+{left(1-frac{1}{2}right)}^2frac{9}{8}}

$$\frac{ \frac{ { \left( \frac{ 1 }{ 2 } - \frac{ 2 }{ 3 } \right) }^{ 2 } }{ \frac{ 5 }{ 6 } } \div \frac{ 5 }{ 6 } - \sqrt{ \frac{ 1 }{ 9 } } }{ \sqrt[ 3 ]{ \frac{ 1 }{ 8 } } + { \left(1- \frac{ 1 }{ 2 } \right) }^{ 2 } \frac{ 9 }{ 8 } }$$

Evalwa

$$-\frac{704}{1875}\approx -0.375466667$$

Passi tas-Soluzzjonijiet

Iddividi \frac{\left(\frac{1}{2}-\frac{2}{3}\right)^{2}}{\frac{5}{6}} b'\frac{5}{6} billi timmultiplika \frac{\left(\frac{1}{2}-\frac{2}{3}\right)^{2}}{\frac{5}{6}} bir-reċiproku ta' \frac{5}{6}.

$$\frac{\frac{\left(\frac{1}{2}-\frac{2}{3}\right)^{2}\times 6}{\frac{5}{6}\times 5}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Naqqas \frac{2}{3} minn \frac{1}{2} biex tikseb -\frac{1}{6}.

$$\frac{\frac{\left(-\frac{1}{6}\right)^{2}\times 6}{\frac{5}{6}\times 5}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Ikkalkula -\frac{1}{6} bil-power ta' 2 u tikseb \frac{1}{36}.

$$\frac{\frac{\frac{1}{36}\times 6}{\frac{5}{6}\times 5}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Immultiplika \frac{1}{36} u 6 biex tikseb \frac{1}{6}.

$$\frac{\frac{\frac{1}{6}}{\frac{5}{6}\times 5}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Immultiplika \frac{5}{6} u 5 biex tikseb \frac{25}{6}.

$$\frac{\frac{\frac{1}{6}}{\frac{25}{6}}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Iddividi \frac{1}{6} b'\frac{25}{6} billi timmultiplika \frac{1}{6} bir-reċiproku ta' \frac{25}{6}.

$$\frac{\frac{1}{6}\times \frac{6}{25}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Immultiplika \frac{1}{6} u \frac{6}{25} biex tikseb \frac{1}{25}.

$$\frac{\frac{1}{25}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \frac{1}{9} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{1}}{\sqrt{9}}. Ħu r-radiċi kwadrata tan-numeratur u d-denominatur.

$$\frac{\frac{1}{25}-\frac{1}{3}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Naqqas \frac{1}{3} minn \frac{1}{25} biex tikseb -\frac{22}{75}.

$$\frac{-\frac{22}{75}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Ikkalkola \sqrt[3]{\frac{1}{8}} u ikseb \frac{1}{2}.

$$\frac{-\frac{22}{75}}{\frac{1}{2}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Naqqas \frac{1}{2} minn 1 biex tikseb \frac{1}{2}.

$$\frac{-\frac{22}{75}}{\frac{1}{2}+\left(\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Ikkalkula \frac{1}{2} bil-power ta' 2 u tikseb \frac{1}{4}.

$$\frac{-\frac{22}{75}}{\frac{1}{2}+\frac{1}{4}\times \frac{9}{8}}$$

Immultiplika \frac{1}{4} u \frac{9}{8} biex tikseb \frac{9}{32}.

$$\frac{-\frac{22}{75}}{\frac{1}{2}+\frac{9}{32}}$$

Żid \frac{1}{2} u \frac{9}{32} biex tikseb \frac{25}{32}.

$$\frac{-\frac{22}{75}}{\frac{25}{32}}$$

Iddividi -\frac{22}{75} b'\frac{25}{32} billi timmultiplika -\frac{22}{75} bir-reċiproku ta' \frac{25}{32}.

$$-\frac{22}{75}\times \frac{32}{25}$$

Immultiplika -\frac{22}{75} u \frac{32}{25} biex tikseb -\frac{704}{1875}.

$$-\frac{704}{1875}$$

Fattur

$$-\frac{704}{1875} = -0.37546666666666667$$