Whakaoti i te F:(0.4):D:4=-4

$$F : ( 0.4 ) : D : 4 = - 4$$

Whakaoti mō D

$$D=-\frac{5F}{32}$$

$$F\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua ki te 4.

$$\frac{\frac{F}{0.4}}{D}=-4\times 4$$

Tē taea kia ōrite te tāupe D ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te D.

$$\frac{F}{0.4}=-4\times 4D$$

Whakareatia te -4 ki te 4, ka -16.

$$\frac{F}{0.4}=-16D$$

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

$$-16D=\frac{F}{0.4}$$

He hanga arowhānui tō te whārite.

$$-16D=\frac{5F}{2}$$

Whakawehea ngā taha e rua ki te -16.

$$\frac{-16D}{-16}=\frac{5F}{-16\times 2}$$

Mā te whakawehe ki te -16 ka wetekia te whakareanga ki te -16.

$$D=\frac{5F}{-16\times 2}$$

Whakawehe \frac{5F}{2} ki te -16.

$$D=-\frac{5F}{32}$$

Tē taea kia ōrite te tāupe D ki 0.

$$D=-\frac{5F}{32}\text{, }D\neq 0$$

Whakaoti mō F

$$F=-\frac{32D}{5}$$

$$D\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua ki te 4.

$$\frac{\frac{F}{0.4}}{D}=-4\times 4$$

Whakareatia ngā taha e rua o te whārite ki te D.

$$\frac{F}{0.4}=-4\times 4D$$

Whakareatia te -4 ki te 4, ka -16.

$$\frac{F}{0.4}=-16D$$

He hanga arowhānui tō te whārite.

$$\frac{5}{2}F=-16D$$

Whakawehea ngā taha e rua o te whārite ki te \frac{5}{2}, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{\frac{5}{2}F}{\frac{5}{2}}=-\frac{16D}{\frac{5}{2}}$$

Mā te whakawehe ki te \frac{5}{2} ka wetekia te whakareanga ki te \frac{5}{2}.

$$F=-\frac{16D}{\frac{5}{2}}$$

Whakawehe -16D ki te \frac{5}{2} mā te whakarea -16D ki te tau huripoki o \frac{5}{2}.

$$F=-\frac{32D}{5}$$