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

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

Enrhifo

$$-\frac{48}{125}=-0.384$$

Camau Ateb

Tynnu \frac{2}{3} o \frac{1}{2} i gael -\frac{1}{6}.

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

Cyfrifo -\frac{1}{6} i bŵer 2 a chael \frac{1}{36}.

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

Rhannwch \frac{1}{36} â \frac{5}{6} drwy luosi \frac{1}{36} â chilydd \frac{5}{6}.

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

Lluosi \frac{1}{36} a \frac{6}{5} i gael \frac{1}{30}.

$$\frac{\frac{1}{30}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Ailysgrifennu ail isradd y rhaniad \frac{1}{9} fel rhaniad ail israddau \frac{\sqrt{1}}{\sqrt{9}}. Cymryd ail isradd y rhifiadur a'r enwadur.

$$\frac{\frac{1}{30}-\frac{1}{3}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Tynnu \frac{1}{3} o \frac{1}{30} i gael -\frac{3}{10}.

$$\frac{-\frac{3}{10}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Cyfrifo \sqrt[3]{\frac{1}{8}} a chael \frac{1}{2}.

$$\frac{-\frac{3}{10}}{\frac{1}{2}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Tynnu \frac{1}{2} o 1 i gael \frac{1}{2}.

$$\frac{-\frac{3}{10}}{\frac{1}{2}+\left(\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Cyfrifo \frac{1}{2} i bŵer 2 a chael \frac{1}{4}.

$$\frac{-\frac{3}{10}}{\frac{1}{2}+\frac{1}{4}\times \frac{9}{8}}$$

Lluosi \frac{1}{4} a \frac{9}{8} i gael \frac{9}{32}.

$$\frac{-\frac{3}{10}}{\frac{1}{2}+\frac{9}{32}}$$

Adio \frac{1}{2} a \frac{9}{32} i gael \frac{25}{32}.

$$\frac{-\frac{3}{10}}{\frac{25}{32}}$$

Rhannwch -\frac{3}{10} â \frac{25}{32} drwy luosi -\frac{3}{10} â chilydd \frac{25}{32}.

$$-\frac{3}{10}\times \frac{32}{25}$$

Lluosi -\frac{3}{10} a \frac{32}{25} i gael -\frac{48}{125}.

$$-\frac{48}{125}$$

Ffactor

$$-\frac{48}{125} = -0.384$$