Whakaoti i te x=5+1/213/1+frac{1{2}}

$$x = \frac{ 5+ \frac{ 1 }{ 2 } 13 }{ 1+ \frac{ 1 }{ 2 } }$$

Whakaoti mō x

$$x = \frac{23}{3} = 7\frac{2}{3} \approx 7.666666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te \frac{1}{2} ki te 13, ka \frac{13}{2}.

$$x=\frac{5+\frac{13}{2}}{1+\frac{1}{2}}$$

Me tahuri te 5 ki te hautau \frac{10}{2}.

$$x=\frac{\frac{10}{2}+\frac{13}{2}}{1+\frac{1}{2}}$$

Tā te mea he rite te tauraro o \frac{10}{2} me \frac{13}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$x=\frac{\frac{10+13}{2}}{1+\frac{1}{2}}$$

Tāpirihia te 10 ki te 13, ka 23.

$$x=\frac{\frac{23}{2}}{1+\frac{1}{2}}$$

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

$$x=\frac{\frac{23}{2}}{\frac{2}{2}+\frac{1}{2}}$$

Tā te mea he rite te tauraro o \frac{2}{2} me \frac{1}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$x=\frac{\frac{23}{2}}{\frac{2+1}{2}}$$

Tāpirihia te 2 ki te 1, ka 3.

$$x=\frac{\frac{23}{2}}{\frac{3}{2}}$$

Whakawehe \frac{23}{2} ki te \frac{3}{2} mā te whakarea \frac{23}{2} ki te tau huripoki o \frac{3}{2}.

$$x=\frac{23}{2}\times \frac{2}{3}$$

Me whakarea te \frac{23}{2} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{23\times 2}{2\times 3}$$

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

$$x=\frac{23}{3}$$

Tautapa x

$$x≔\frac{23}{3}$$