Whakaoti i te 3/4x+1/2x-x+8/3=27/2

$$\frac { 3 } { 4 } x + \frac { 1 } { 2 } x - x + \frac { 8 } { 3 } = \frac { 27 } { 2 }$$

Whakaoti mō x

$$x = \frac{130}{3} = 43\frac{1}{3} \approx 43.333333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te \frac{3}{4}x me \frac{1}{2}x, ka \frac{5}{4}x.

$$\frac{5}{4}x-x+\frac{8}{3}=\frac{27}{2}$$

Pahekotia te \frac{5}{4}x me -x, ka \frac{1}{4}x.

$$\frac{1}{4}x+\frac{8}{3}=\frac{27}{2}$$

Tangohia te \frac{8}{3} mai i ngā taha e rua.

$$\frac{1}{4}x=\frac{27}{2}-\frac{8}{3}$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{27}{2} me \frac{8}{3} ki te hautau me te tautūnga 6.

$$\frac{1}{4}x=\frac{81}{6}-\frac{16}{6}$$

Tā te mea he rite te tauraro o \frac{81}{6} me \frac{16}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{4}x=\frac{81-16}{6}$$

Tangohia te 16 i te 81, ka 65.

$$\frac{1}{4}x=\frac{65}{6}$$

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

$$x=\frac{65}{6}\times 4$$

Tuhia te \frac{65}{6}\times 4 hei hautanga kotahi.

$$x=\frac{65\times 4}{6}$$

Whakareatia te 65 ki te 4, ka 260.

$$x=\frac{260}{6}$$

Whakahekea te hautanga \frac{260}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{130}{3}$$