Whakaoti i te 1000*10*10^-4*1.5/1-1000*1.5*10^-4=

$$\frac { 1000 \cdot 10 \cdot 10 ^ { - 4 } \cdot 1.5 } { 1 - 1000 \cdot 1.5 \cdot 10 ^ { - 4 } } =$$

Aromātai

$$\frac{30}{17}\approx 1.764705882$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te -4 kia riro ai te -3.

$$\frac{1000\times 10^{-3}\times 1.5}{1-1000\times 1.5\times 10^{-4}}$$

Tātaihia te 10 mā te pū o -3, kia riro ko \frac{1}{1000}.

$$\frac{1000\times \frac{1}{1000}\times 1.5}{1-1000\times 1.5\times 10^{-4}}$$

Whakareatia te 1000 ki te \frac{1}{1000}, ka 1.

$$\frac{1.5}{1-1000\times 1.5\times 10^{-4}}$$

Whakareatia te 1000 ki te 1.5, ka 1500.

$$\frac{1.5}{1-1500\times 10^{-4}}$$

Tātaihia te 10 mā te pū o -4, kia riro ko \frac{1}{10000}.

$$\frac{1.5}{1-1500\times \frac{1}{10000}}$$

Whakareatia te 1500 ki te \frac{1}{10000}, ka \frac{3}{20}.

$$\frac{1.5}{1-\frac{3}{20}}$$

Tangohia te \frac{3}{20} i te 1, ka \frac{17}{20}.

$$\frac{1.5}{\frac{17}{20}}$$

Whakawehe 1.5 ki te \frac{17}{20} mā te whakarea 1.5 ki te tau huripoki o \frac{17}{20}.

$$1.5\times \frac{20}{17}$$

Whakareatia te 1.5 ki te \frac{20}{17}, ka \frac{30}{17}.

$$\frac{30}{17}$$

Tauwehe

$$\frac{2 \cdot 3 \cdot 5}{17} = 1\frac{13}{17} = 1.7647058823529411$$