Whakaoti i te =1151/2:3/2=231/2*2/3=

$$= 115 \frac { 1 } { 2 } : \frac { 3 } { 2 } = \frac { 231 } { 2 } \times \frac { 2 } { 3 } =$$

Manatoko

Ngā Upane Otinga

Whakawehe \frac{115\times 2+1}{2} ki te \frac{3}{2} mā te whakarea \frac{115\times 2+1}{2} ki te tau huripoki o \frac{3}{2}.

$$\frac{\left(115\times 2+1\right)\times 2}{2\times 3}=\frac{231}{2}\times \frac{2}{3}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\frac{1+2\times 115}{3}=\frac{231}{2}\times \frac{2}{3}$$

Whakareatia te 2 ki te 115, ka 230.

$$\frac{1+230}{3}=\frac{231}{2}\times \frac{2}{3}$$

Tāpirihia te 1 ki te 230, ka 231.

$$\frac{231}{3}=\frac{231}{2}\times \frac{2}{3}$$

Whakawehea te 231 ki te 3, kia riro ko 77.

$$77=\frac{231}{2}\times \frac{2}{3}$$

Me whakarea te \frac{231}{2} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$77=\frac{231\times 2}{2\times 3}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$77=\frac{231}{3}$$

Whakawehea te 231 ki te 3, kia riro ko 77.

$$77=77$$

Whakatauritea te 77 me te 77.

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