Whakaoti i te n-35/6=15/12

$$n - 3 \frac { 5 } { 6 } = 1 \frac { 5 } { 12 }$$

Whakaoti mō n

$$n = \frac{21}{4} = 5\frac{1}{4} = 5.25$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 12, arā, te tauraro pātahi he tino iti rawa te kitea o 6,12.

$$12n-2\left(3\times 6+5\right)=1\times 12+5$$

Whakareatia te 3 ki te 6, ka 18.

$$12n-2\left(18+5\right)=1\times 12+5$$

Tāpirihia te 18 ki te 5, ka 23.

$$12n-2\times 23=1\times 12+5$$

Whakareatia te -2 ki te 23, ka -46.

$$12n-46=1\times 12+5$$

Whakareatia te 1 ki te 12, ka 12.

$$12n-46=12+5$$

Tāpirihia te 12 ki te 5, ka 17.

$$12n-46=17$$

Me tāpiri te 46 ki ngā taha e rua.

$$12n=17+46$$

Tāpirihia te 17 ki te 46, ka 63.

$$12n=63$$

Whakawehea ngā taha e rua ki te 12.

$$n=\frac{63}{12}$$

Whakahekea te hautanga \frac{63}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$n=\frac{21}{4}$$