Whakaoti i te 1/6(6/5-y)=2/15

$$\frac{ 1 }{ 6 } ( \frac{ 6 }{ 5 } -y)= \frac{ 2 }{ 15 }$$

Whakaoti mō y

$$y=\frac{2}{5}=0.4$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua ki te 6, te tau utu o \frac{1}{6}.

$$\frac{6}{5}-y=\frac{2}{15}\times 6$$

Tuhia te \frac{2}{15}\times 6 hei hautanga kotahi.

$$\frac{6}{5}-y=\frac{2\times 6}{15}$$

Whakareatia te 2 ki te 6, ka 12.

$$\frac{6}{5}-y=\frac{12}{15}$$

Whakahekea te hautanga \frac{12}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{6}{5}-y=\frac{4}{5}$$

Tangohia te \frac{6}{5} mai i ngā taha e rua.

$$-y=\frac{4}{5}-\frac{6}{5}$$

Tā te mea he rite te tauraro o \frac{4}{5} me \frac{6}{5}, me tango rāua mā te tango i ō raua taurunga.

$$-y=\frac{4-6}{5}$$

Tangohia te 6 i te 4, ka -2.

$$-y=-\frac{2}{5}$$

Me whakarea ngā taha e rua ki te -1.

$$y=\frac{2}{5}$$