Whakaoti i te k+13/5=27/10

$$k + 1 \frac { 3 } { 5 } = 2 \frac { 7 } { 10 }$$

Whakaoti mō k

$$k = \frac{11}{10} = 1\frac{1}{10} = 1.1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 10, arā, te tauraro pātahi he tino iti rawa te kitea o 5,10.

$$10k+2\left(1\times 5+3\right)=2\times 10+7$$

Whakareatia te 1 ki te 5, ka 5.

$$10k+2\left(5+3\right)=2\times 10+7$$

Tāpirihia te 5 ki te 3, ka 8.

$$10k+2\times 8=2\times 10+7$$

Whakareatia te 2 ki te 8, ka 16.

$$10k+16=2\times 10+7$$

Whakareatia te 2 ki te 10, ka 20.

$$10k+16=20+7$$

Tāpirihia te 20 ki te 7, ka 27.

$$10k+16=27$$

Tangohia te 16 mai i ngā taha e rua.

$$10k=27-16$$

Tangohia te 16 i te 27, ka 11.

$$10k=11$$

Whakawehea ngā taha e rua ki te 10.

$$k=\frac{11}{10}$$