Datrys 100(1-1/101^5)+100/101

$$100 ( 1 - \frac { 1 } { 101 ^ { 5 } } ) + \frac { 100 } { 101 }$$

Enrhifo

$$\frac{1061416090100}{10510100501}\approx 100.990099$$

Camau Ateb

Cyfrifo 101 i bŵer 5 a chael 10510100501.

$$100\left(1-\frac{1}{10510100501}\right)+\frac{100}{101}$$

Troswch y rhif degol 1 i’r ffracsiwn \frac{10510100501}{10510100501}.

$$100\left(\frac{10510100501}{10510100501}-\frac{1}{10510100501}\right)+\frac{100}{101}$$

Gan fod gan \frac{10510100501}{10510100501} a \frac{1}{10510100501} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$100\times \frac{10510100501-1}{10510100501}+\frac{100}{101}$$

Tynnu 1 o 10510100501 i gael 10510100500.

$$100\times \frac{10510100500}{10510100501}+\frac{100}{101}$$

Mynegwch 100\times \frac{10510100500}{10510100501} fel ffracsiwn unigol.

$$\frac{100\times 10510100500}{10510100501}+\frac{100}{101}$$

Lluosi 100 a 10510100500 i gael 1051010050000.

$$\frac{1051010050000}{10510100501}+\frac{100}{101}$$

Lluosrif lleiaf cyffredin 10510100501 a 101 yw 10510100501. Troswch \frac{1051010050000}{10510100501} a \frac{100}{101} yn ffracsiynau gyda’r enwadur 10510100501.

$$\frac{1051010050000}{10510100501}+\frac{10406040100}{10510100501}$$

Gan fod gan \frac{1051010050000}{10510100501} a \frac{10406040100}{10510100501} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{1051010050000+10406040100}{10510100501}$$

Adio 1051010050000 a 10406040100 i gael 1061416090100.

$$\frac{1061416090100}{10510100501}$$

Ffactor

$$\frac{2 ^ {2} \cdot 5 ^ {2} \cdot 2549 \cdot 4164049}{101 ^ {5}} = 100\frac{10406040000}{10510100501} = 100.99009900038634$$