Whakaoti i te 2/3(5x-7)=4/5

$$\frac { 2 } { 3 } ( 5 x - 7 ) = \frac { 4 } { 5 }$$

Whakaoti mō x

$$x = \frac{41}{25} = 1\frac{16}{25} = 1.64$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua ki te \frac{3}{2}, te tau utu o \frac{2}{3}.

$$5x-7=\frac{4}{5}\times \frac{3}{2}$$

Me whakarea te \frac{4}{5} ki te \frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$5x-7=\frac{4\times 3}{5\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 3}{5\times 2}.

$$5x-7=\frac{12}{10}$$

Whakahekea te hautanga \frac{12}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$5x-7=\frac{6}{5}$$

Me tāpiri te 7 ki ngā taha e rua.

$$5x=\frac{6}{5}+7$$

Me tahuri te 7 ki te hautau \frac{35}{5}.

$$5x=\frac{6}{5}+\frac{35}{5}$$

Tā te mea he rite te tauraro o \frac{6}{5} me \frac{35}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$5x=\frac{6+35}{5}$$

Tāpirihia te 6 ki te 35, ka 41.

$$5x=\frac{41}{5}$$

Whakawehea ngā taha e rua ki te 5.

$$x=\frac{\frac{41}{5}}{5}$$

Tuhia te \frac{\frac{41}{5}}{5} hei hautanga kotahi.

$$x=\frac{41}{5\times 5}$$

Whakareatia te 5 ki te 5, ka 25.

$$x=\frac{41}{25}$$