Whakaoti i te 8:4.2=x:9.6

$$8 : 4.2 = x : 9.6$$

Whakaoti mō x

$$x = \frac{128}{7} = 18\frac{2}{7} \approx 18.285714286$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakarohaina te \frac{8}{4.2} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\frac{80}{42}=\frac{x}{9.6}$$

Whakahekea te hautanga \frac{80}{42} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{40}{21}=\frac{x}{9.6}$$

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

$$\frac{x}{9.6}=\frac{40}{21}$$

Me whakarea ngā taha e rua ki te 9.6.

$$x=\frac{40}{21}\times 9.6$$

Me tahuri ki tau ā-ira 9.6 ki te hautau \frac{96}{10}. Whakahekea te hautanga \frac{96}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{40}{21}\times \frac{48}{5}$$

Me whakarea te \frac{40}{21} ki te \frac{48}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{40\times 48}{21\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{40\times 48}{21\times 5}.

$$x=\frac{1920}{105}$$

Whakahekea te hautanga \frac{1920}{105} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

$$x=\frac{128}{7}$$