Whakaoti i te 1-(1/10)^5/100/1-frac{1{10}}

$$\frac { 1 - ( \frac { 1 } { 10 } ) ^ { 5 } / 100 } { 1 - \frac { 1 } { 10 } }$$

Aromātai

$$\frac{1111111}{1000000}=1.111111$$

Ngā Upane Otinga

Tātaihia te \frac{1}{10} mā te pū o 5, kia riro ko \frac{1}{100000}.

$$\frac{1-\frac{\frac{1}{100000}}{100}}{1-\frac{1}{10}}$$

Tuhia te \frac{\frac{1}{100000}}{100} hei hautanga kotahi.

$$\frac{1-\frac{1}{100000\times 100}}{1-\frac{1}{10}}$$

Whakareatia te 100000 ki te 100, ka 10000000.

$$\frac{1-\frac{1}{10000000}}{1-\frac{1}{10}}$$

Me tahuri te 1 ki te hautau \frac{10000000}{10000000}.

$$\frac{\frac{10000000}{10000000}-\frac{1}{10000000}}{1-\frac{1}{10}}$$

Tā te mea he rite te tauraro o \frac{10000000}{10000000} me \frac{1}{10000000}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{10000000-1}{10000000}}{1-\frac{1}{10}}$$

Tangohia te 1 i te 10000000, ka 9999999.

$$\frac{\frac{9999999}{10000000}}{1-\frac{1}{10}}$$

Me tahuri te 1 ki te hautau \frac{10}{10}.

$$\frac{\frac{9999999}{10000000}}{\frac{10}{10}-\frac{1}{10}}$$

Tā te mea he rite te tauraro o \frac{10}{10} me \frac{1}{10}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{9999999}{10000000}}{\frac{10-1}{10}}$$

Tangohia te 1 i te 10, ka 9.

$$\frac{\frac{9999999}{10000000}}{\frac{9}{10}}$$

Whakawehe \frac{9999999}{10000000} ki te \frac{9}{10} mā te whakarea \frac{9999999}{10000000} ki te tau huripoki o \frac{9}{10}.

$$\frac{9999999}{10000000}\times \frac{10}{9}$$

Me whakarea te \frac{9999999}{10000000} ki te \frac{10}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{9999999\times 10}{10000000\times 9}$$

Mahia ngā whakarea i roto i te hautanga \frac{9999999\times 10}{10000000\times 9}.

$$\frac{99999990}{90000000}$$

Whakahekea te hautanga \frac{99999990}{90000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 90.

$$\frac{1111111}{1000000}$$

Tauwehe

$$\frac{239 \cdot 4649}{2 ^ {6} \cdot 5 ^ {6}} = 1\frac{111111}{1000000} = 1.111111$$