Whakaoti i te 2/3:1/2=5/6:x

$$\frac { 2 } { 3 } : \frac { 1 } { 2 } = \frac { 5 } { 6 } : x$$

Whakaoti mō x

$$x=\frac{5}{8}=0.625$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x.

$$x\times \frac{\frac{2}{3}}{\frac{1}{2}}=\frac{5}{6}$$

Whakawehe \frac{2}{3} ki te \frac{1}{2} mā te whakarea \frac{2}{3} ki te tau huripoki o \frac{1}{2}.

$$x\times \frac{2}{3}\times 2=\frac{5}{6}$$

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

$$x\times \frac{2\times 2}{3}=\frac{5}{6}$$

Whakareatia te 2 ki te 2, ka 4.

$$x\times \frac{4}{3}=\frac{5}{6}$$

Me whakarea ngā taha e rua ki te \frac{3}{4}, te tau utu o \frac{4}{3}.

$$x=\frac{5}{6}\times \frac{3}{4}$$

Me whakarea te \frac{5}{6} ki te \frac{3}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{5\times 3}{6\times 4}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 3}{6\times 4}.

$$x=\frac{15}{24}$$

Whakahekea te hautanga \frac{15}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

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