Whakaoti i te 7/40divx=25/8

$$\frac { 7 } { 40 } \div x = 2 \frac { 5 } { 8 }$$

Whakaoti mō x

$$x=\frac{1}{15}\approx 0.066666667$$

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 8x, arā, te tauraro pātahi he tino iti rawa te kitea o x,8.

$$8\times \frac{7}{40}=x\left(2\times 8+5\right)$$

Tuhia te 8\times \frac{7}{40} hei hautanga kotahi.

$$\frac{8\times 7}{40}=x\left(2\times 8+5\right)$$

Whakareatia te 8 ki te 7, ka 56.

$$\frac{56}{40}=x\left(2\times 8+5\right)$$

Whakahekea te hautanga \frac{56}{40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\frac{7}{5}=x\left(2\times 8+5\right)$$

Whakareatia te 2 ki te 8, ka 16.

$$\frac{7}{5}=x\left(16+5\right)$$

Tāpirihia te 16 ki te 5, ka 21.

$$\frac{7}{5}=x\times 21$$

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

$$x\times 21=\frac{7}{5}$$

Whakawehea ngā taha e rua ki te 21.

$$x=\frac{\frac{7}{5}}{21}$$

Tuhia te \frac{\frac{7}{5}}{21} hei hautanga kotahi.

$$x=\frac{7}{5\times 21}$$

Whakareatia te 5 ki te 21, ka 105.

$$x=\frac{7}{105}$$

Whakahekea te hautanga \frac{7}{105} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$x=\frac{1}{15}$$