Réitigh 100(1-1/1.01^5)+100/1.01^5

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

Luacháil

$$100$$

Céimeanna Réitigh

Ríomh cumhacht 1.01 de 5 agus faigh 1.0510100501.

$$100\left(1-\frac{1}{1.0510100501}\right)+\frac{100}{1.01^{5}}$$

Fairsingigh \frac{1}{1.0510100501} tríd an t-uimhreoir agus an t-ainmneoir araon a iolrú faoi 10000000000.

$$100\left(1-\frac{10000000000}{10510100501}\right)+\frac{100}{1.01^{5}}$$

Coinbhéartaigh 1 i gcodán \frac{10510100501}{10510100501}.

$$100\left(\frac{10510100501}{10510100501}-\frac{10000000000}{10510100501}\right)+\frac{100}{1.01^{5}}$$

Tá an t-ainmneoir céanna ag \frac{10510100501}{10510100501} agus \frac{10000000000}{10510100501} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.

$$100\times \frac{10510100501-10000000000}{10510100501}+\frac{100}{1.01^{5}}$$

Dealaigh 10000000000 ó 10510100501 chun 510100501 a fháil.

$$100\times \frac{510100501}{10510100501}+\frac{100}{1.01^{5}}$$

Scríobh 100\times \frac{510100501}{10510100501} mar chodán aonair.

$$\frac{100\times 510100501}{10510100501}+\frac{100}{1.01^{5}}$$

Méadaigh 100 agus 510100501 chun 51010050100 a fháil.

$$\frac{51010050100}{10510100501}+\frac{100}{1.01^{5}}$$

Ríomh cumhacht 1.01 de 5 agus faigh 1.0510100501.

$$\frac{51010050100}{10510100501}+\frac{100}{1.0510100501}$$

Fairsingigh \frac{100}{1.0510100501} tríd an t-uimhreoir agus an t-ainmneoir araon a iolrú faoi 10000000000.

$$\frac{51010050100}{10510100501}+\frac{1000000000000}{10510100501}$$

Tá an t-ainmneoir céanna ag \frac{51010050100}{10510100501} agus \frac{1000000000000}{10510100501} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

$$\frac{51010050100+1000000000000}{10510100501}$$

Suimigh 51010050100 agus 1000000000000 chun 1051010050100 a fháil.

$$\frac{1051010050100}{10510100501}$$

Roinn 1051010050100 faoi 10510100501 chun 100 a fháil.

$$100$$

Fachtóirigh

$$2^{2}\times 5^{2}$$