Datrys 100(1-1/1.01^5)+100/1.01

$$100 ( 1 - \frac { 1 } { 1.01 ^ { 5 } } ) + \frac { 100 } { 1.01 }$$

Enrhifo

$$\frac{1091614060100}{10510100501}\approx 103.863332229$$

Camau Ateb

Cyfrifo 1.01 i bŵer 5 a chael 1.0510100501.

$$100\left(1-\frac{1}{1.0510100501}\right)+\frac{100}{1.01}$$

Ehangu \frac{1}{1.0510100501} drwy luosi'r rhifiadur a'r enwadur gyda 10000000000.

$$100\left(1-\frac{10000000000}{10510100501}\right)+\frac{100}{1.01}$$

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

$$100\left(\frac{10510100501}{10510100501}-\frac{10000000000}{10510100501}\right)+\frac{100}{1.01}$$

Gan fod gan \frac{10510100501}{10510100501} a \frac{10000000000}{10510100501} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$100\times \frac{10510100501-10000000000}{10510100501}+\frac{100}{1.01}$$

Tynnu 10000000000 o 10510100501 i gael 510100501.

$$100\times \frac{510100501}{10510100501}+\frac{100}{1.01}$$

Mynegwch 100\times \frac{510100501}{10510100501} fel ffracsiwn unigol.

$$\frac{100\times 510100501}{10510100501}+\frac{100}{1.01}$$

Lluosi 100 a 510100501 i gael 51010050100.

$$\frac{51010050100}{10510100501}+\frac{100}{1.01}$$

Ehangu \frac{100}{1.01} drwy luosi'r rhifiadur a'r enwadur gyda 100.

$$\frac{51010050100}{10510100501}+\frac{10000}{101}$$

Lluosrif lleiaf cyffredin 10510100501 a 101 yw 10510100501. Troswch \frac{51010050100}{10510100501} a \frac{10000}{101} yn ffracsiynau gyda’r enwadur 10510100501.

$$\frac{51010050100}{10510100501}+\frac{1040604010000}{10510100501}$$

Gan fod gan \frac{51010050100}{10510100501} a \frac{1040604010000}{10510100501} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{51010050100+1040604010000}{10510100501}$$

Adio 51010050100 a 1040604010000 i gael 1091614060100.

$$\frac{1091614060100}{10510100501}$$

Ffactor

$$\frac{53 \cdot 127 \cdot 1621771 \cdot 2 ^ {2} \cdot 5 ^ {2}}{101 ^ {5}} = 103\frac{9073708497}{10510100501} = 103.86333222942413$$