Whakaoti i te 2/3[4a-3b)+1/3b-1/4(6a+7b)]

$$\frac { 2 } { 3 } [ 4 a - 3 b ) + \frac { 1 } { 3 } b - \frac { 1 } { 4 } ( 6 a + 7 b ) ]$$

Aromātai

$$\frac{7a}{6}-\frac{41b}{12}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{2}{3} ki te 4a-3b.

$$\frac{2}{3}\times 4a+\frac{2}{3}\left(-3\right)b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Tuhia te \frac{2}{3}\times 4 hei hautanga kotahi.

$$\frac{2\times 4}{3}a+\frac{2}{3}\left(-3\right)b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Whakareatia te 2 ki te 4, ka 8.

$$\frac{8}{3}a+\frac{2}{3}\left(-3\right)b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Tuhia te \frac{2}{3}\left(-3\right) hei hautanga kotahi.

$$\frac{8}{3}a+\frac{2\left(-3\right)}{3}b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Whakareatia te 2 ki te -3, ka -6.

$$\frac{8}{3}a+\frac{-6}{3}b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Whakawehea te -6 ki te 3, kia riro ko -2.

$$\frac{8}{3}a-2b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Pahekotia te -2b me \frac{1}{3}b, ka -\frac{5}{3}b.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{1}{4} ki te 6a+7b.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{1}{4}\times 6a-\frac{1}{4}\times 7b$$

Tuhia te -\frac{1}{4}\times 6 hei hautanga kotahi.

$$\frac{8}{3}a-\frac{5}{3}b+\frac{-6}{4}a-\frac{1}{4}\times 7b$$

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

$$\frac{8}{3}a-\frac{5}{3}b-\frac{3}{2}a-\frac{1}{4}\times 7b$$

Tuhia te -\frac{1}{4}\times 7 hei hautanga kotahi.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{3}{2}a+\frac{-7}{4}b$$

Ka taea te hautanga \frac{-7}{4} te tuhi anō ko -\frac{7}{4} mā te tango i te tohu tōraro.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{3}{2}a-\frac{7}{4}b$$

Pahekotia te \frac{8}{3}a me -\frac{3}{2}a, ka \frac{7}{6}a.

$$\frac{7}{6}a-\frac{5}{3}b-\frac{7}{4}b$$

Pahekotia te -\frac{5}{3}b me -\frac{7}{4}b, ka -\frac{41}{12}b.

$$\frac{7}{6}a-\frac{41}{12}b$$

Whakaroha

$$\frac{7a}{6}-\frac{41b}{12}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{2}{3} ki te 4a-3b.

$$\frac{2}{3}\times 4a+\frac{2}{3}\left(-3\right)b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Tuhia te \frac{2}{3}\times 4 hei hautanga kotahi.

$$\frac{2\times 4}{3}a+\frac{2}{3}\left(-3\right)b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Whakareatia te 2 ki te 4, ka 8.

$$\frac{8}{3}a+\frac{2}{3}\left(-3\right)b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Tuhia te \frac{2}{3}\left(-3\right) hei hautanga kotahi.

$$\frac{8}{3}a+\frac{2\left(-3\right)}{3}b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Whakareatia te 2 ki te -3, ka -6.

$$\frac{8}{3}a+\frac{-6}{3}b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Whakawehea te -6 ki te 3, kia riro ko -2.

$$\frac{8}{3}a-2b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Pahekotia te -2b me \frac{1}{3}b, ka -\frac{5}{3}b.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{1}{4} ki te 6a+7b.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{1}{4}\times 6a-\frac{1}{4}\times 7b$$

Tuhia te -\frac{1}{4}\times 6 hei hautanga kotahi.

$$\frac{8}{3}a-\frac{5}{3}b+\frac{-6}{4}a-\frac{1}{4}\times 7b$$

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

$$\frac{8}{3}a-\frac{5}{3}b-\frac{3}{2}a-\frac{1}{4}\times 7b$$

Tuhia te -\frac{1}{4}\times 7 hei hautanga kotahi.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{3}{2}a+\frac{-7}{4}b$$

Ka taea te hautanga \frac{-7}{4} te tuhi anō ko -\frac{7}{4} mā te tango i te tohu tōraro.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{3}{2}a-\frac{7}{4}b$$

Pahekotia te \frac{8}{3}a me -\frac{3}{2}a, ka \frac{7}{6}a.

$$\frac{7}{6}a-\frac{5}{3}b-\frac{7}{4}b$$

Pahekotia te -\frac{5}{3}b me -\frac{7}{4}b, ka -\frac{41}{12}b.

$$\frac{7}{6}a-\frac{41}{12}b$$