Whakaoti i te 16/x=127/512*5/100

$$\frac{ 16 }{ x } = \frac{ 127 }{ 512 } \times \frac{ 5 }{ 100 }$$

Whakaoti mō x

$$x = \frac{163840}{127} = 1290\frac{10}{127} \approx 1290.078740157$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 12800x, arā, te tauraro pātahi he tino iti rawa te kitea o x,512,100.

$$12800\times 16=\frac{127}{512}\times 128x\times 5$$

Whakareatia te 12800 ki te 16, ka 204800.

$$204800=\frac{127}{512}\times 128x\times 5$$

Tuhia te \frac{127}{512}\times 128 hei hautanga kotahi.

$$204800=\frac{127\times 128}{512}x\times 5$$

Whakareatia te 127 ki te 128, ka 16256.

$$204800=\frac{16256}{512}x\times 5$$

Whakahekea te hautanga \frac{16256}{512} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 128.

$$204800=\frac{127}{4}x\times 5$$

Tuhia te \frac{127}{4}\times 5 hei hautanga kotahi.

$$204800=\frac{127\times 5}{4}x$$

Whakareatia te 127 ki te 5, ka 635.

$$204800=\frac{635}{4}x$$

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

$$\frac{635}{4}x=204800$$

Me whakarea ngā taha e rua ki te \frac{4}{635}, te tau utu o \frac{635}{4}.

$$x=204800\times \frac{4}{635}$$

Tuhia te 204800\times \frac{4}{635} hei hautanga kotahi.

$$x=\frac{204800\times 4}{635}$$

Whakareatia te 204800 ki te 4, ka 819200.

$$x=\frac{819200}{635}$$

Whakahekea te hautanga \frac{819200}{635} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x=\frac{163840}{127}$$