Whakaoti i te 6:x=11/15:2/3

$$6 : x = 1 \frac { 1 } { 15 } : \frac { 2 } { 3 }$$

Whakaoti mō x

$$x = \frac{15}{4} = 3\frac{3}{4} = 3.75$$

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.

$$6=x\times \frac{\frac{1\times 15+1}{15}}{\frac{2}{3}}$$

Whakareatia te 1 ki te 15, ka 15.

$$6=x\times \frac{\frac{15+1}{15}}{\frac{2}{3}}$$

Tāpirihia te 15 ki te 1, ka 16.

$$6=x\times \frac{\frac{16}{15}}{\frac{2}{3}}$$

Whakawehe \frac{16}{15} ki te \frac{2}{3} mā te whakarea \frac{16}{15} ki te tau huripoki o \frac{2}{3}.

$$6=x\times \frac{16}{15}\times \frac{3}{2}$$

Me whakarea te \frac{16}{15} ki te \frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$6=x\times \frac{16\times 3}{15\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{16\times 3}{15\times 2}.

$$6=x\times \frac{48}{30}$$

Whakahekea te hautanga \frac{48}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$6=x\times \frac{8}{5}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$x\times \frac{8}{5}=6$$

Me whakarea ngā taha e rua ki te \frac{5}{8}, te tau utu o \frac{8}{5}.

$$x=6\times \frac{5}{8}$$

Tuhia te 6\times \frac{5}{8} hei hautanga kotahi.

$$x=\frac{6\times 5}{8}$$

Whakareatia te 6 ki te 5, ka 30.

$$x=\frac{30}{8}$$

Whakahekea te hautanga \frac{30}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{15}{4}$$