Whakaoti i te (2x-1):3=5:2

$$( 2 x - 1 ) : 3 = 5 : 2$$

Whakaoti mō x

$$x = \frac{17}{4} = 4\frac{1}{4} = 4.25$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua ki te 3.

$$2x-1=\frac{5}{2}\times 3$$

Tuhia te \frac{5}{2}\times 3 hei hautanga kotahi.

$$2x-1=\frac{5\times 3}{2}$$

Whakareatia te 5 ki te 3, ka 15.

$$2x-1=\frac{15}{2}$$

Me tāpiri te 1 ki ngā taha e rua.

$$2x=\frac{15}{2}+1$$

Me tahuri te 1 ki te hautau \frac{2}{2}.

$$2x=\frac{15}{2}+\frac{2}{2}$$

Tā te mea he rite te tauraro o \frac{15}{2} me \frac{2}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$2x=\frac{15+2}{2}$$

Tāpirihia te 15 ki te 2, ka 17.

$$2x=\frac{17}{2}$$

Whakawehea ngā taha e rua ki te 2.

$$x=\frac{\frac{17}{2}}{2}$$

Tuhia te \frac{\frac{17}{2}}{2} hei hautanga kotahi.

$$x=\frac{17}{2\times 2}$$

Whakareatia te 2 ki te 2, ka 4.

$$x=\frac{17}{4}$$