Réitigh 50(1-1/102^5)+100/102^5

$$50 ( 1 - \frac { 1 } { 102 ^ { 5 } } ) + \frac { 100 } { 102 ^ { 5 } }$$

Luacháil

$$\frac{276020200825}{5520404016}\approx 50.000000005$$

Céimeanna Réitigh

Ríomh cumhacht 102 de 5 agus faigh 11040808032.

$$50\left(1-\frac{1}{11040808032}\right)+\frac{100}{102^{5}}$$

Coinbhéartaigh 1 i gcodán \frac{11040808032}{11040808032}.

$$50\left(\frac{11040808032}{11040808032}-\frac{1}{11040808032}\right)+\frac{100}{102^{5}}$$

Tá an t-ainmneoir céanna ag \frac{11040808032}{11040808032} agus \frac{1}{11040808032} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.

$$50\times \frac{11040808032-1}{11040808032}+\frac{100}{102^{5}}$$

Dealaigh 1 ó 11040808032 chun 11040808031 a fháil.

$$50\times \frac{11040808031}{11040808032}+\frac{100}{102^{5}}$$

Scríobh 50\times \frac{11040808031}{11040808032} mar chodán aonair.

$$\frac{50\times 11040808031}{11040808032}+\frac{100}{102^{5}}$$

Méadaigh 50 agus 11040808031 chun 552040401550 a fháil.

$$\frac{552040401550}{11040808032}+\frac{100}{102^{5}}$$

Laghdaigh an codán \frac{552040401550}{11040808032} chuig na téarmaí is ísle trí 2 a bhaint agus a chealú.

$$\frac{276020200775}{5520404016}+\frac{100}{102^{5}}$$

Ríomh cumhacht 102 de 5 agus faigh 11040808032.

$$\frac{276020200775}{5520404016}+\frac{100}{11040808032}$$

Laghdaigh an codán \frac{100}{11040808032} chuig na téarmaí is ísle trí 4 a bhaint agus a chealú.

$$\frac{276020200775}{5520404016}+\frac{25}{2760202008}$$

Is é an t-iolrach is lú coitianta de 5520404016 agus 2760202008 ná 5520404016. Coinbhéartaigh \frac{276020200775}{5520404016} agus \frac{25}{2760202008} chuig codáin a bhfuil an t-ainmneoir 5520404016 acu.

$$\frac{276020200775}{5520404016}+\frac{50}{5520404016}$$

Tá an t-ainmneoir céanna ag \frac{276020200775}{5520404016} agus \frac{50}{5520404016} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

$$\frac{276020200775+50}{5520404016}$$

Suimigh 276020200775 agus 50 chun 276020200825 a fháil.

$$\frac{276020200825}{5520404016}$$

Fachtóirigh

$$\frac{5 ^ {2} \cdot 61 \cdot 103 \cdot 251 \cdot 7001}{2 ^ {4} \cdot 3 ^ {5} \cdot 17 ^ {5}} = 50\frac{25}{5520404016} = 50.00000000452865$$