Whakaoti i te 50000=x(1+10div100)

$$50000=x(1+10 \div 100)$$

Whakaoti mō x

$$x = \frac{500000}{11} = 45454\frac{6}{11} \approx 45454.545454545$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakahekea te hautanga \frac{10}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$50000=x\left(1+\frac{1}{10}\right)$$

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

$$50000=x\left(\frac{10}{10}+\frac{1}{10}\right)$$

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

$$50000=x\times \frac{10+1}{10}$$

Tāpirihia te 10 ki te 1, ka 11.

$$50000=x\times \frac{11}{10}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$x\times \frac{11}{10}=50000$$

Me whakarea ngā taha e rua ki te \frac{10}{11}, te tau utu o \frac{11}{10}.

$$x=50000\times \frac{10}{11}$$

Tuhia te 50000\times \frac{10}{11} hei hautanga kotahi.

$$x=\frac{50000\times 10}{11}$$

Whakareatia te 50000 ki te 10, ka 500000.

$$x=\frac{500000}{11}$$