Whakaoti i te 7/6x-7/3=5/4

$$\frac { 7 } { 6 } x - \frac { 7 } { 3 } = \frac { 5 } { 4 }$$

Whakaoti mō x

$$x = \frac{43}{14} = 3\frac{1}{14} \approx 3.071428571$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me tāpiri te \frac{7}{3} ki ngā taha e rua.

$$\frac{7}{6}x=\frac{5}{4}+\frac{7}{3}$$

Ko te maha noa iti rawa atu o 4 me 3 ko 12. Me tahuri \frac{5}{4} me \frac{7}{3} ki te hautau me te tautūnga 12.

$$\frac{7}{6}x=\frac{15}{12}+\frac{28}{12}$$

Tā te mea he rite te tauraro o \frac{15}{12} me \frac{28}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{7}{6}x=\frac{15+28}{12}$$

Tāpirihia te 15 ki te 28, ka 43.

$$\frac{7}{6}x=\frac{43}{12}$$

Me whakarea ngā taha e rua ki te \frac{6}{7}, te tau utu o \frac{7}{6}.

$$x=\frac{43}{12}\times \frac{6}{7}$$

Me whakarea te \frac{43}{12} ki te \frac{6}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{43\times 6}{12\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{43\times 6}{12\times 7}.

$$x=\frac{258}{84}$$

Whakahekea te hautanga \frac{258}{84} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$x=\frac{43}{14}$$