Whakaoti i te 2/3:7/11=x:14/5

$$\frac { 2 } { 3 } : \frac { 7 } { 11 } = x : \frac { 14 } { 5 }$$

Whakaoti mō x

$$x = \frac{44}{15} = 2\frac{14}{15} \approx 2.933333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehe \frac{2}{3} ki te \frac{7}{11} mā te whakarea \frac{2}{3} ki te tau huripoki o \frac{7}{11}.

$$\frac{2}{3}\times \frac{11}{7}=\frac{x}{\frac{14}{5}}$$

Me whakarea te \frac{2}{3} ki te \frac{11}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2\times 11}{3\times 7}=\frac{x}{\frac{14}{5}}$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 11}{3\times 7}.

$$\frac{22}{21}=\frac{x}{\frac{14}{5}}$$

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

$$\frac{x}{\frac{14}{5}}=\frac{22}{21}$$

Me whakarea ngā taha e rua ki te \frac{14}{5}.

$$x=\frac{22}{21}\times \frac{14}{5}$$

Me whakarea te \frac{22}{21} ki te \frac{14}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{22\times 14}{21\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{22\times 14}{21\times 5}.

$$x=\frac{308}{105}$$

Whakahekea te hautanga \frac{308}{105} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$x=\frac{44}{15}$$