Whakaoti i te 5/8x+1/3=17/6

$$\frac { 5 } { 8 } x + \frac { 1 } { 3 } = \frac { 17 } { 6 }$$

Whakaoti mō x

$$x=4$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te \frac{1}{3} mai i ngā taha e rua.

$$\frac{5}{8}x=\frac{17}{6}-\frac{1}{3}$$

Ko te maha noa iti rawa atu o 6 me 3 ko 6. Me tahuri \frac{17}{6} me \frac{1}{3} ki te hautau me te tautūnga 6.

$$\frac{5}{8}x=\frac{17}{6}-\frac{2}{6}$$

Tā te mea he rite te tauraro o \frac{17}{6} me \frac{2}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{5}{8}x=\frac{17-2}{6}$$

Tangohia te 2 i te 17, ka 15.

$$\frac{5}{8}x=\frac{15}{6}$$

Whakahekea te hautanga \frac{15}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{5}{8}x=\frac{5}{2}$$

Me whakarea ngā taha e rua ki te \frac{8}{5}, te tau utu o \frac{5}{8}.

$$x=\frac{5}{2}\times \frac{8}{5}$$

Me whakarea te \frac{5}{2} ki te \frac{8}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{5\times 8}{2\times 5}$$

Me whakakore tahi te 5 i te taurunga me te tauraro.

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

Whakawehea te 8 ki te 2, kia riro ko 4.

$$x=4$$