Whakaoti i te 1/4x+8/9=-6/12

$$\frac{ 1 }{ 4 } x+ \frac{ 8 }{ 9 } = \frac{ -6 }{ 12 }$$

Whakaoti mō x

$$x = -\frac{50}{9} = -5\frac{5}{9} \approx -5.555555556$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakahekea te hautanga \frac{-6}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{1}{4}x+\frac{8}{9}=-\frac{1}{2}$$

Tangohia te \frac{8}{9} mai i ngā taha e rua.

$$\frac{1}{4}x=-\frac{1}{2}-\frac{8}{9}$$

Ko te maha noa iti rawa atu o 2 me 9 ko 18. Me tahuri -\frac{1}{2} me \frac{8}{9} ki te hautau me te tautūnga 18.

$$\frac{1}{4}x=-\frac{9}{18}-\frac{16}{18}$$

Tā te mea he rite te tauraro o -\frac{9}{18} me \frac{16}{18}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{4}x=\frac{-9-16}{18}$$

Tangohia te 16 i te -9, ka -25.

$$\frac{1}{4}x=-\frac{25}{18}$$

Me whakarea ngā taha e rua ki te 4, te tau utu o \frac{1}{4}.

$$x=-\frac{25}{18}\times 4$$

Tuhia te -\frac{25}{18}\times 4 hei hautanga kotahi.

$$x=\frac{-25\times 4}{18}$$

Whakareatia te -25 ki te 4, ka -100.

$$x=\frac{-100}{18}$$

Whakahekea te hautanga \frac{-100}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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