Whakaoti i te 50(1-1/102^5)+100/102^5

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

Aromātai

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

Ngā Upane Otinga

Tātaihia te 102 mā te pū o 5, kia riro ko 11040808032.

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

Me tahuri te 1 ki te hautau \frac{11040808032}{11040808032}.

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

Tā te mea he rite te tauraro o \frac{11040808032}{11040808032} me \frac{1}{11040808032}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 1 i te 11040808032, ka 11040808031.

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

Tuhia te 50\times \frac{11040808031}{11040808032} hei hautanga kotahi.

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

Whakareatia te 50 ki te 11040808031, ka 552040401550.

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

Whakahekea te hautanga \frac{552040401550}{11040808032} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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

Tātaihia te 102 mā te pū o 5, kia riro ko 11040808032.

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

Whakahekea te hautanga \frac{100}{11040808032} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

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

Ko te maha noa iti rawa atu o 5520404016 me 2760202008 ko 5520404016. Me tahuri \frac{276020200775}{5520404016} me \frac{25}{2760202008} ki te hautau me te tautūnga 5520404016.

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

Tā te mea he rite te tauraro o \frac{276020200775}{5520404016} me \frac{50}{5520404016}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tāpirihia te 276020200775 ki te 50, ka 276020200825.

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

Tauwehe

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