Whakaoti i te 4/3:22/7=x:24/5

$$\frac { 4 } { 3 } : \frac { 22 } { 7 } = x : \frac { 24 } { 5 }$$

Whakaoti mō x

$$x = \frac{112}{55} = 2\frac{2}{55} \approx 2.036363636$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehe \frac{4}{3} ki te \frac{22}{7} mā te whakarea \frac{4}{3} ki te tau huripoki o \frac{22}{7}.

$$\frac{4}{3}\times \frac{7}{22}=\frac{x}{\frac{24}{5}}$$

Me whakarea te \frac{4}{3} ki te \frac{7}{22} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{4\times 7}{3\times 22}=\frac{x}{\frac{24}{5}}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 7}{3\times 22}.

$$\frac{28}{66}=\frac{x}{\frac{24}{5}}$$

Whakahekea te hautanga \frac{28}{66} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{14}{33}=\frac{x}{\frac{24}{5}}$$

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

$$\frac{x}{\frac{24}{5}}=\frac{14}{33}$$

Me whakarea ngā taha e rua ki te \frac{24}{5}.

$$x=\frac{14}{33}\times \frac{24}{5}$$

Me whakarea te \frac{14}{33} ki te \frac{24}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{14\times 24}{33\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{14\times 24}{33\times 5}.

$$x=\frac{336}{165}$$

Whakahekea te hautanga \frac{336}{165} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$x=\frac{112}{55}$$