Whakaoti i te 1097*10^7*(1/4-1/9)

$$1097 \times { 10 }^{ 7 } \times ( \frac{ 1 }{ 4 } - \frac{ 1 }{ 9 } )$$

Aromātai

$$\frac{13712500000}{9}\approx 1523611111.111111111$$

Ngā Upane Otinga

Tātaihia te 10 mā te pū o 7, kia riro ko 10000000.

$$1097\times 10000000\left(\frac{1}{4}-\frac{1}{9}\right)$$

Whakareatia te 1097 ki te 10000000, ka 10970000000.

$$10970000000\left(\frac{1}{4}-\frac{1}{9}\right)$$

Ko te maha noa iti rawa atu o 4 me 9 ko 36. Me tahuri \frac{1}{4} me \frac{1}{9} ki te hautau me te tautūnga 36.

$$10970000000\left(\frac{9}{36}-\frac{4}{36}\right)$$

Tā te mea he rite te tauraro o \frac{9}{36} me \frac{4}{36}, me tango rāua mā te tango i ō raua taurunga.

$$10970000000\times \frac{9-4}{36}$$

Tangohia te 4 i te 9, ka 5.

$$10970000000\times \frac{5}{36}$$

Tuhia te 10970000000\times \frac{5}{36} hei hautanga kotahi.

$$\frac{10970000000\times 5}{36}$$

Whakareatia te 10970000000 ki te 5, ka 54850000000.

$$\frac{54850000000}{36}$$

Whakahekea te hautanga \frac{54850000000}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{13712500000}{9}$$

Tauwehe

$$\frac{2 ^ {5} \cdot 5 ^ {8} \cdot 1097}{3 ^ {2}} = 1523611111\frac{1}{9} = 1523611111.1111112$$