Whakaoti i te 4(1/3)^2/2+11/4/9=1

$$\frac { 4 ( \frac { 1 } { 3 } ) ^ { 2 } } { 2 } + \frac { 1 \frac { 1 } { 4 } } { 9 } = 1$$

Manatoko

Ngā Upane Otinga

Me whakarea ngā taha e rua o te whārite ki te 18, arā, te tauraro pātahi he tino iti rawa te kitea o 2,9.

$$9\times 4\times \left(\frac{1}{3}\right)^{2}+2\times \frac{1\times 4+1}{4}=18$$

Whakareatia te 9 ki te 4, ka 36.

$$36\times \left(\frac{1}{3}\right)^{2}+2\times \frac{1\times 4+1}{4}=18$$

Tātaihia te \frac{1}{3} mā te pū o 2, kia riro ko \frac{1}{9}.

$$36\times \frac{1}{9}+2\times \frac{1\times 4+1}{4}=18$$

Whakareatia te 36 ki te \frac{1}{9}, ka \frac{36}{9}.

$$\frac{36}{9}+2\times \frac{1\times 4+1}{4}=18$$

Whakawehea te 36 ki te 9, kia riro ko 4.

$$4+2\times \frac{1\times 4+1}{4}=18$$

Whakareatia te 1 ki te 4, ka 4.

$$4+2\times \frac{4+1}{4}=18$$

Tāpirihia te 4 ki te 1, ka 5.

$$4+2\times \frac{5}{4}=18$$

Tuhia te 2\times \frac{5}{4} hei hautanga kotahi.

$$4+\frac{2\times 5}{4}=18$$

Whakareatia te 2 ki te 5, ka 10.

$$4+\frac{10}{4}=18$$

Whakahekea te hautanga \frac{10}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$4+\frac{5}{2}=18$$

Me tahuri te 4 ki te hautau \frac{8}{2}.

$$\frac{8}{2}+\frac{5}{2}=18$$

Tā te mea he rite te tauraro o \frac{8}{2} me \frac{5}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{8+5}{2}=18$$

Tāpirihia te 8 ki te 5, ka 13.

$$\frac{13}{2}=18$$

Me tahuri te 18 ki te hautau \frac{36}{2}.

$$\frac{13}{2}=\frac{36}{2}$$

Whakatauritea te \frac{13}{2} me te \frac{36}{2}.

$$\text{false}$$