Whakaoti i te 10/3left(2x-6right)=3/5

$$\frac{ 10 }{ 3 } \left( 2x-6 \right) = \frac{ 3 }{ 5 }$$

Whakaoti mō x

$$x = \frac{309}{100} = 3\frac{9}{100} = 3.09$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua ki te \frac{3}{10}, te tau utu o \frac{10}{3}.

$$2x-6=\frac{3}{5}\times \frac{3}{10}$$

Me whakarea te \frac{3}{5} ki te \frac{3}{10} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$2x-6=\frac{3\times 3}{5\times 10}$$

Mahia ngā whakarea i roto i te hautanga \frac{3\times 3}{5\times 10}.

$$2x-6=\frac{9}{50}$$

Me tāpiri te 6 ki ngā taha e rua.

$$2x=\frac{9}{50}+6$$

Me tahuri te 6 ki te hautau \frac{300}{50}.

$$2x=\frac{9}{50}+\frac{300}{50}$$

Tā te mea he rite te tauraro o \frac{9}{50} me \frac{300}{50}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$2x=\frac{9+300}{50}$$

Tāpirihia te 9 ki te 300, ka 309.

$$2x=\frac{309}{50}$$

Whakawehea ngā taha e rua ki te 2.

$$x=\frac{\frac{309}{50}}{2}$$

Tuhia te \frac{\frac{309}{50}}{2} hei hautanga kotahi.

$$x=\frac{309}{50\times 2}$$

Whakareatia te 50 ki te 2, ka 100.

$$x=\frac{309}{100}$$