Whakaoti i te 32/5:x=1/5:5/2

$$\frac { 32 } { 5 } : x = \frac { 1 } { 5 } : \frac { 5 } { 2 }$$

Whakaoti mō x

$$x=80$$

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

$$\frac{32}{5}=x\times \frac{\frac{1}{5}}{\frac{5}{2}}$$

Whakawehe \frac{1}{5} ki te \frac{5}{2} mā te whakarea \frac{1}{5} ki te tau huripoki o \frac{5}{2}.

$$\frac{32}{5}=x\times \frac{1}{5}\times \frac{2}{5}$$

Me whakarea te \frac{1}{5} ki te \frac{2}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{32}{5}=x\times \frac{1\times 2}{5\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 2}{5\times 5}.

$$\frac{32}{5}=x\times \frac{2}{25}$$

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

$$x\times \frac{2}{25}=\frac{32}{5}$$

Me whakarea ngā taha e rua ki te \frac{25}{2}, te tau utu o \frac{2}{25}.

$$x=\frac{32}{5}\times \frac{25}{2}$$

Me whakarea te \frac{32}{5} ki te \frac{25}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{32\times 25}{5\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{32\times 25}{5\times 2}.

$$x=\frac{800}{10}$$

Whakawehea te 800 ki te 10, kia riro ko 80.

$$x=80$$