Whakaoti i te 1/3(7x-1)=1/4

$$\frac { 1 } { 3 } ( 7 x - 1 ) = \frac { 1 } { 4 }$$

Whakaoti mō x

$$x=\frac{1}{4}=0.25$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua ki te 3, te tau utu o \frac{1}{3}.

$$7x-1=\frac{1}{4}\times 3$$

Whakareatia te \frac{1}{4} ki te 3, ka \frac{3}{4}.

$$7x-1=\frac{3}{4}$$

Me tāpiri te 1 ki ngā taha e rua.

$$7x=\frac{3}{4}+1$$

Me tahuri te 1 ki te hautau \frac{4}{4}.

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

Tā te mea he rite te tauraro o \frac{3}{4} me \frac{4}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tāpirihia te 3 ki te 4, ka 7.

$$7x=\frac{7}{4}$$

Whakawehea ngā taha e rua ki te 7.

$$x=\frac{\frac{7}{4}}{7}$$

Tuhia te \frac{\frac{7}{4}}{7} hei hautanga kotahi.

$$x=\frac{7}{4\times 7}$$

Me whakakore tahi te 7 i te taurunga me te tauraro.

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