Datrys frac{sqrt[5]{frac{1/32}}{{left(2/3right)}^-1}}{left(1-1/3right)9/4+frac{1}{2}}+frac{sqrt{1-frac{16}{25}}}{frac{frac{4}{5}}{{left(frac{15}{2}right)}^1}}

$$\frac{ \frac{ \sqrt[ 5 ]{ \frac{ 1 }{ 32 } } }{ { \left( \frac{ 2 }{ 3 } \right) }^{ -1 } } }{ \left( 1- \frac{ 1 }{ 3 } \right) \frac{ 9 }{ 4 } + \frac{ 1 }{ 2 } } + \frac{ \sqrt{ 1- \frac{ 16 }{ 25 } } }{ \frac{ \frac{ 4 }{ 5 } }{ { \left( \frac{ 15 }{ 2 } \right) }^{ 1 } } }$$

Enrhifo

$$\frac{139}{24}\approx 5.791666667$$

Camau Ateb

Cyfrifo \sqrt[5]{\frac{1}{32}} a chael \frac{1}{2}.

$$\frac{\frac{\frac{1}{2}}{\left(\frac{2}{3}\right)^{-1}}}{\left(1-\frac{1}{3}\right)\times \frac{9}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Cyfrifo \frac{2}{3} i bŵer -1 a chael \frac{3}{2}.

$$\frac{\frac{\frac{1}{2}}{\frac{3}{2}}}{\left(1-\frac{1}{3}\right)\times \frac{9}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Rhannwch \frac{1}{2} â \frac{3}{2} drwy luosi \frac{1}{2} â chilydd \frac{3}{2}.

$$\frac{\frac{1}{2}\times \frac{2}{3}}{\left(1-\frac{1}{3}\right)\times \frac{9}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Lluosi \frac{1}{2} a \frac{2}{3} i gael \frac{1}{3}.

$$\frac{\frac{1}{3}}{\left(1-\frac{1}{3}\right)\times \frac{9}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

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

$$\frac{\frac{1}{3}}{\frac{2}{3}\times \frac{9}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Lluosi \frac{2}{3} a \frac{9}{4} i gael \frac{3}{2}.

$$\frac{\frac{1}{3}}{\frac{3}{2}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Adio \frac{3}{2} a \frac{1}{2} i gael 2.

$$\frac{\frac{1}{3}}{2}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Mynegwch \frac{\frac{1}{3}}{2} fel ffracsiwn unigol.

$$\frac{1}{3\times 2}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Lluosi 3 a 2 i gael 6.

$$\frac{1}{6}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Tynnu \frac{16}{25} o 1 i gael \frac{9}{25}.

$$\frac{1}{6}+\frac{\sqrt{\frac{9}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Ailysgrifennu ail isradd y rhaniad \frac{9}{25} fel rhaniad ail israddau \frac{\sqrt{9}}{\sqrt{25}}. Cymryd ail isradd y rhifiadur a'r enwadur.

$$\frac{1}{6}+\frac{\frac{3}{5}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Cyfrifo \frac{15}{2} i bŵer 1 a chael \frac{15}{2}.

$$\frac{1}{6}+\frac{\frac{3}{5}}{\frac{\frac{4}{5}}{\frac{15}{2}}}$$

Rhannwch \frac{4}{5} â \frac{15}{2} drwy luosi \frac{4}{5} â chilydd \frac{15}{2}.

$$\frac{1}{6}+\frac{\frac{3}{5}}{\frac{4}{5}\times \frac{2}{15}}$$

Lluosi \frac{4}{5} a \frac{2}{15} i gael \frac{8}{75}.

$$\frac{1}{6}+\frac{\frac{3}{5}}{\frac{8}{75}}$$

Rhannwch \frac{3}{5} â \frac{8}{75} drwy luosi \frac{3}{5} â chilydd \frac{8}{75}.

$$\frac{1}{6}+\frac{3}{5}\times \frac{75}{8}$$

Lluosi \frac{3}{5} a \frac{75}{8} i gael \frac{45}{8}.

$$\frac{1}{6}+\frac{45}{8}$$

Adio \frac{1}{6} a \frac{45}{8} i gael \frac{139}{24}.

$$\frac{139}{24}$$

Ffactor

$$\frac{139}{2 ^ {3} \cdot 3} = 5\frac{19}{24} = 5.791666666666667$$