Whakaoti i te 2xdiv10/11=4/15

$$2x \div \frac{ 10 }{ 11 } = \frac{ 4 }{ 15 }$$

Whakaoti mō x

$$x=\frac{4}{33}\approx 0.121212121$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua ki te \frac{10}{11}.

$$2x=\frac{4}{15}\times \frac{10}{11}$$

Me whakarea te \frac{4}{15} ki te \frac{10}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$2x=\frac{4\times 10}{15\times 11}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 10}{15\times 11}.

$$2x=\frac{40}{165}$$

Whakahekea te hautanga \frac{40}{165} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$2x=\frac{8}{33}$$

Whakawehea ngā taha e rua ki te 2.

$$x=\frac{\frac{8}{33}}{2}$$

Tuhia te \frac{\frac{8}{33}}{2} hei hautanga kotahi.

$$x=\frac{8}{33\times 2}$$

Whakareatia te 33 ki te 2, ka 66.

$$x=\frac{8}{66}$$

Whakahekea te hautanga \frac{8}{66} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{4}{33}$$