Datrys (5/10+3/3)^2:(15/9)^2+[(7/10:frac{84}{30}+frac{24}{9}:frac{4}{9})+frac{2}{27}+frac{5}{12}]

$$( \frac { 5 } { 10 } + \frac { 3 } { 3 } ) ^ { 2 } : ( \frac { 15 } { 9 } ) ^ { 2 } + [ ( \frac { 7 } { 10 } : \frac { 84 } { 30 } + \frac { 24 } { 9 } : \frac { 4 } { 9 } ) + \frac { 2 } { 27 } + \frac { 5 } { 12 } ]$$

Enrhifo

$$\frac{20387}{2700}\approx 7.550740741$$

Camau Ateb

Rhannu 3 â 3 i gael 1.

$$\frac{\left(\frac{5}{10}+1\right)^{2}}{\left(\frac{15}{9}\right)^{2}}+\frac{\frac{7}{10}}{\frac{84}{30}}+\frac{\frac{24}{9}}{\frac{4}{9}}+\frac{2}{27}+\frac{5}{12}$$

Lleihau'r ffracsiwn \frac{5}{10} i'r graddau lleiaf posib drwy dynnu a chanslo allan 5.

$$\frac{\left(\frac{1}{2}+1\right)^{2}}{\left(\frac{15}{9}\right)^{2}}+\frac{\frac{7}{10}}{\frac{84}{30}}+\frac{\frac{24}{9}}{\frac{4}{9}}+\frac{2}{27}+\frac{5}{12}$$

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

$$\frac{\left(\frac{3}{2}\right)^{2}}{\left(\frac{15}{9}\right)^{2}}+\frac{\frac{7}{10}}{\frac{84}{30}}+\frac{\frac{24}{9}}{\frac{4}{9}}+\frac{2}{27}+\frac{5}{12}$$

Cyfrifo \frac{3}{2} i bŵer 2 a chael \frac{9}{4}.

$$\frac{\frac{9}{4}}{\left(\frac{15}{9}\right)^{2}}+\frac{\frac{7}{10}}{\frac{84}{30}}+\frac{\frac{24}{9}}{\frac{4}{9}}+\frac{2}{27}+\frac{5}{12}$$

Lleihau'r ffracsiwn \frac{15}{9} i'r graddau lleiaf posib drwy dynnu a chanslo allan 3.

$$\frac{\frac{9}{4}}{\left(\frac{5}{3}\right)^{2}}+\frac{\frac{7}{10}}{\frac{84}{30}}+\frac{\frac{24}{9}}{\frac{4}{9}}+\frac{2}{27}+\frac{5}{12}$$

Cyfrifo \frac{5}{3} i bŵer 2 a chael \frac{25}{9}.

$$\frac{\frac{9}{4}}{\frac{25}{9}}+\frac{\frac{7}{10}}{\frac{84}{30}}+\frac{\frac{24}{9}}{\frac{4}{9}}+\frac{2}{27}+\frac{5}{12}$$

Rhannwch \frac{9}{4} â \frac{25}{9} drwy luosi \frac{9}{4} â chilydd \frac{25}{9}.

$$\frac{9}{4}\times \frac{9}{25}+\frac{\frac{7}{10}}{\frac{84}{30}}+\frac{\frac{24}{9}}{\frac{4}{9}}+\frac{2}{27}+\frac{5}{12}$$

Lluosi \frac{9}{4} a \frac{9}{25} i gael \frac{81}{100}.

$$\frac{81}{100}+\frac{\frac{7}{10}}{\frac{84}{30}}+\frac{\frac{24}{9}}{\frac{4}{9}}+\frac{2}{27}+\frac{5}{12}$$

Rhannwch \frac{7}{10} â \frac{84}{30} drwy luosi \frac{7}{10} â chilydd \frac{84}{30}.

$$\frac{81}{100}+\frac{7\times 30}{10\times 84}+\frac{\frac{24}{9}}{\frac{4}{9}}+\frac{2}{27}+\frac{5}{12}$$

Canslo 3\times 7\times 10 yn y rhifiadur a'r enwadur.

$$\frac{81}{100}+\frac{1}{4}+\frac{\frac{24}{9}}{\frac{4}{9}}+\frac{2}{27}+\frac{5}{12}$$

Adio \frac{81}{100} a \frac{1}{4} i gael \frac{53}{50}.

$$\frac{53}{50}+\frac{\frac{24}{9}}{\frac{4}{9}}+\frac{2}{27}+\frac{5}{12}$$

Rhannwch \frac{24}{9} â \frac{4}{9} drwy luosi \frac{24}{9} â chilydd \frac{4}{9}.

$$\frac{53}{50}+\frac{24\times 9}{9\times 4}+\frac{2}{27}+\frac{5}{12}$$

Canslo 3\times 3\times 4 yn y rhifiadur a'r enwadur.

$$\frac{53}{50}+2\times 3+\frac{2}{27}+\frac{5}{12}$$

Lluosi 2 a 3 i gael 6.

$$\frac{53}{50}+6+\frac{2}{27}+\frac{5}{12}$$

Adio \frac{53}{50} a 6 i gael \frac{353}{50}.

$$\frac{353}{50}+\frac{2}{27}+\frac{5}{12}$$

Adio \frac{353}{50} a \frac{2}{27} i gael \frac{9631}{1350}.

$$\frac{9631}{1350}+\frac{5}{12}$$

Adio \frac{9631}{1350} a \frac{5}{12} i gael \frac{20387}{2700}.

$$\frac{20387}{2700}$$

Ffactor

$$\frac{19 \cdot 29 \cdot 37}{2 ^ {2} \cdot 3 ^ {3} \cdot 5 ^ {2}} = 7\frac{1487}{2700} = 7.550740740740741$$