Whakaoti i te 276=4(11/2*3/4t+3/4t+t)

$$276 = 4 ( 1 \frac { 1 } { 2 } \times \frac { 3 } { 4 } t + \frac { 3 } { 4 } t + t )$$

Whakaoti mō t

$$t=24$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea ngā taha e rua ki te 4.

$$\frac{276}{4}=\frac{1\times 2+1}{2}\times \frac{3}{4}t+\frac{3}{4}t+t$$

Whakawehea te 276 ki te 4, kia riro ko 69.

$$69=\frac{1\times 2+1}{2}\times \frac{3}{4}t+\frac{3}{4}t+t$$

Me whakarea ngā taha e rua o te whārite ki te 4, arā, te tauraro pātahi he tino iti rawa te kitea o 2,4.

$$276=2\left(1\times 2+1\right)\times \frac{3}{4}t+3t+4t$$

Whakareatia te 1 ki te 2, ka 2.

$$276=2\left(2+1\right)\times \frac{3}{4}t+3t+4t$$

Tāpirihia te 2 ki te 1, ka 3.

$$276=2\times 3\times \frac{3}{4}t+3t+4t$$

Whakareatia te 2 ki te 3, ka 6.

$$276=6\times \frac{3}{4}t+3t+4t$$

Tuhia te 6\times \frac{3}{4} hei hautanga kotahi.

$$276=\frac{6\times 3}{4}t+3t+4t$$

Whakareatia te 6 ki te 3, ka 18.

$$276=\frac{18}{4}t+3t+4t$$

Whakahekea te hautanga \frac{18}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$276=\frac{9}{2}t+3t+4t$$

Pahekotia te \frac{9}{2}t me 3t, ka \frac{15}{2}t.

$$276=\frac{15}{2}t+4t$$

Pahekotia te \frac{15}{2}t me 4t, ka \frac{23}{2}t.

$$276=\frac{23}{2}t$$

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

$$\frac{23}{2}t=276$$

Me whakarea ngā taha e rua ki te \frac{2}{23}, te tau utu o \frac{23}{2}.

$$t=276\times \frac{2}{23}$$

Tuhia te 276\times \frac{2}{23} hei hautanga kotahi.

$$t=\frac{276\times 2}{23}$$

Whakareatia te 276 ki te 2, ka 552.

$$t=\frac{552}{23}$$

Whakawehea te 552 ki te 23, kia riro ko 24.

$$t=24$$