Datrys 991/9100/9999/999999/100frac{101}{99}

$$99 \frac { 1 } { 9 } \frac { 100 } { 99 } \frac { 99 } { 99 } 99 \frac { 99 } { 100 } \frac { 101 } { 99 }$$

Enrhifo

$$\frac{9099292}{891}\approx 10212.448933782$$

Camau Ateb

Rhannu 99 â 99 i gael 1.

$$\frac{99\times 9+1}{9}\times \frac{100}{99}\times 1\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

Lluosi 99 a 9 i gael 891.

$$\frac{891+1}{9}\times \frac{100}{99}\times 1\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

Adio 891 a 1 i gael 892.

$$\frac{892}{9}\times \frac{100}{99}\times 1\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

Lluoswch \frac{892}{9} â \frac{100}{99} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\frac{892\times 100}{9\times 99}\times 1\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

Gwnewch y gwaith lluosi yn y ffracsiwn \frac{892\times 100}{9\times 99}.

$$\frac{89200}{891}\times 1\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

Lluosi \frac{89200}{891} a 1 i gael \frac{89200}{891}.

$$\frac{89200}{891}\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

Lluosi 99 a 100 i gael 9900.

$$\frac{89200}{891}\times \frac{9900+99}{100}\times \frac{101}{99}$$

Adio 9900 a 99 i gael 9999.

$$\frac{89200}{891}\times \frac{9999}{100}\times \frac{101}{99}$$

Lluoswch \frac{89200}{891} â \frac{9999}{100} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\frac{89200\times 9999}{891\times 100}\times \frac{101}{99}$$

Gwnewch y gwaith lluosi yn y ffracsiwn \frac{89200\times 9999}{891\times 100}.

$$\frac{891910800}{89100}\times \frac{101}{99}$$

Lleihau'r ffracsiwn \frac{891910800}{89100} i'r graddau lleiaf posib drwy dynnu a chanslo allan 9900.

$$\frac{90092}{9}\times \frac{101}{99}$$

Lluoswch \frac{90092}{9} â \frac{101}{99} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\frac{90092\times 101}{9\times 99}$$

Gwnewch y gwaith lluosi yn y ffracsiwn \frac{90092\times 101}{9\times 99}.

$$\frac{9099292}{891}$$

Ffactor

$$\frac{2 ^ {2} \cdot 101 ^ {2} \cdot 223}{3 ^ {4} \cdot 11} = 10212\frac{400}{891} = 10212.448933782267$$