Whakaoti i te 4/5(x-2)-1/6(3x-4)=

$$\frac { 4 } { 5 } ( x - 2 ) - \frac { 1 } { 6 } ( 3 x - 4 ) =$$

Aromātai

$$\frac{3x}{10}-\frac{14}{15}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{4}{5} ki te x-2.

$$\frac{4}{5}x+\frac{4}{5}\left(-2\right)-\frac{1}{6}\left(3x-4\right)$$

Tuhia te \frac{4}{5}\left(-2\right) hei hautanga kotahi.

$$\frac{4}{5}x+\frac{4\left(-2\right)}{5}-\frac{1}{6}\left(3x-4\right)$$

Whakareatia te 4 ki te -2, ka -8.

$$\frac{4}{5}x+\frac{-8}{5}-\frac{1}{6}\left(3x-4\right)$$

Ka taea te hautanga \frac{-8}{5} te tuhi anō ko -\frac{8}{5} mā te tango i te tohu tōraro.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{6}\left(3x-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{1}{6} ki te 3x-4.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{6}\times 3x-\frac{1}{6}\left(-4\right)$$

Tuhia te -\frac{1}{6}\times 3 hei hautanga kotahi.

$$\frac{4}{5}x-\frac{8}{5}+\frac{-3}{6}x-\frac{1}{6}\left(-4\right)$$

Whakahekea te hautanga \frac{-3}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{2}x-\frac{1}{6}\left(-4\right)$$

Tuhia te -\frac{1}{6}\left(-4\right) hei hautanga kotahi.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{2}x+\frac{-\left(-4\right)}{6}$$

Whakareatia te -1 ki te -4, ka 4.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{2}x+\frac{4}{6}$$

Whakahekea te hautanga \frac{4}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{2}x+\frac{2}{3}$$

Pahekotia te \frac{4}{5}x me -\frac{1}{2}x, ka \frac{3}{10}x.

$$\frac{3}{10}x-\frac{8}{5}+\frac{2}{3}$$

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri -\frac{8}{5} me \frac{2}{3} ki te hautau me te tautūnga 15.

$$\frac{3}{10}x-\frac{24}{15}+\frac{10}{15}$$

Tā te mea he rite te tauraro o -\frac{24}{15} me \frac{10}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3}{10}x+\frac{-24+10}{15}$$

Tāpirihia te -24 ki te 10, ka -14.

$$\frac{3}{10}x-\frac{14}{15}$$

Whakaroha

$$\frac{3x}{10}-\frac{14}{15}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{4}{5} ki te x-2.

$$\frac{4}{5}x+\frac{4}{5}\left(-2\right)-\frac{1}{6}\left(3x-4\right)$$

Tuhia te \frac{4}{5}\left(-2\right) hei hautanga kotahi.

$$\frac{4}{5}x+\frac{4\left(-2\right)}{5}-\frac{1}{6}\left(3x-4\right)$$

Whakareatia te 4 ki te -2, ka -8.

$$\frac{4}{5}x+\frac{-8}{5}-\frac{1}{6}\left(3x-4\right)$$

Ka taea te hautanga \frac{-8}{5} te tuhi anō ko -\frac{8}{5} mā te tango i te tohu tōraro.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{6}\left(3x-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{1}{6} ki te 3x-4.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{6}\times 3x-\frac{1}{6}\left(-4\right)$$

Tuhia te -\frac{1}{6}\times 3 hei hautanga kotahi.

$$\frac{4}{5}x-\frac{8}{5}+\frac{-3}{6}x-\frac{1}{6}\left(-4\right)$$

Whakahekea te hautanga \frac{-3}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{2}x-\frac{1}{6}\left(-4\right)$$

Tuhia te -\frac{1}{6}\left(-4\right) hei hautanga kotahi.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{2}x+\frac{-\left(-4\right)}{6}$$

Whakareatia te -1 ki te -4, ka 4.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{2}x+\frac{4}{6}$$

Whakahekea te hautanga \frac{4}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{2}x+\frac{2}{3}$$

Pahekotia te \frac{4}{5}x me -\frac{1}{2}x, ka \frac{3}{10}x.

$$\frac{3}{10}x-\frac{8}{5}+\frac{2}{3}$$

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri -\frac{8}{5} me \frac{2}{3} ki te hautau me te tautūnga 15.

$$\frac{3}{10}x-\frac{24}{15}+\frac{10}{15}$$

Tā te mea he rite te tauraro o -\frac{24}{15} me \frac{10}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3}{10}x+\frac{-24+10}{15}$$

Tāpirihia te -24 ki te 10, ka -14.

$$\frac{3}{10}x-\frac{14}{15}$$