Whakaoti i te 32/5y+11/4=71/3

$$3 \frac { 2 } { 5 } y + 1 \frac { 1 } { 4 } = 7 \frac { 1 } { 3 }$$

Whakaoti mō y

$$y = \frac{365}{204} = 1\frac{161}{204} \approx 1.789215686$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 60, arā, te tauraro pātahi he tino iti rawa te kitea o 5,4,3.

$$12\left(3\times 5+2\right)y+15\left(1\times 4+1\right)=20\left(7\times 3+1\right)$$

Whakareatia te 3 ki te 5, ka 15.

$$12\left(15+2\right)y+15\left(1\times 4+1\right)=20\left(7\times 3+1\right)$$

Tāpirihia te 15 ki te 2, ka 17.

$$12\times 17y+15\left(1\times 4+1\right)=20\left(7\times 3+1\right)$$

Whakareatia te 12 ki te 17, ka 204.

$$204y+15\left(1\times 4+1\right)=20\left(7\times 3+1\right)$$

Whakareatia te 1 ki te 4, ka 4.

$$204y+15\left(4+1\right)=20\left(7\times 3+1\right)$$

Tāpirihia te 4 ki te 1, ka 5.

$$204y+15\times 5=20\left(7\times 3+1\right)$$

Whakareatia te 15 ki te 5, ka 75.

$$204y+75=20\left(7\times 3+1\right)$$

Whakareatia te 7 ki te 3, ka 21.

$$204y+75=20\left(21+1\right)$$

Tāpirihia te 21 ki te 1, ka 22.

$$204y+75=20\times 22$$

Whakareatia te 20 ki te 22, ka 440.

$$204y+75=440$$

Tangohia te 75 mai i ngā taha e rua.

$$204y=440-75$$

Tangohia te 75 i te 440, ka 365.

$$204y=365$$

Whakawehea ngā taha e rua ki te 204.

$$y=\frac{365}{204}$$