Whakaoti i te 1/2(x+3)+3/4(2/3x-10/3)

$$\frac { 1 } { 2 } ( x + 3 ) + \frac { 3 } { 4 } ( \frac { 2 } { 3 } x - \frac { 10 } { 3 } )$$

Aromātai

$$x-1$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{2} ki te x+3.

$$\frac{1}{2}x+\frac{1}{2}\times 3+\frac{3}{4}\left(\frac{2}{3}x-\frac{10}{3}\right)$$

Whakareatia te \frac{1}{2} ki te 3, ka \frac{3}{2}.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3}{4}\left(\frac{2}{3}x-\frac{10}{3}\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{3}{4} ki te \frac{2}{3}x-\frac{10}{3}.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3}{4}\times \frac{2}{3}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Me whakarea te \frac{3}{4} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3\times 2}{4\times 3}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{1}{2}x+\frac{3}{2}+\frac{2}{4}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

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

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Me whakarea te \frac{3}{4} ki te -\frac{10}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{3\left(-10\right)}{4\times 3}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{-10}{4}$$

Whakahekea te hautanga \frac{-10}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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

Pahekotia te \frac{1}{2}x me \frac{1}{2}x, ka x.

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

Tā te mea he rite te tauraro o \frac{3}{2} me \frac{5}{2}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 5 i te 3, ka -2.

$$x+\frac{-2}{2}$$

Whakawehea te -2 ki te 2, kia riro ko -1.

$$x-1$$

Whakaroha

$$x-1$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{2} ki te x+3.

$$\frac{1}{2}x+\frac{1}{2}\times 3+\frac{3}{4}\left(\frac{2}{3}x-\frac{10}{3}\right)$$

Whakareatia te \frac{1}{2} ki te 3, ka \frac{3}{2}.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3}{4}\left(\frac{2}{3}x-\frac{10}{3}\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{3}{4} ki te \frac{2}{3}x-\frac{10}{3}.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3}{4}\times \frac{2}{3}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Me whakarea te \frac{3}{4} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3\times 2}{4\times 3}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{1}{2}x+\frac{3}{2}+\frac{2}{4}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

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

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Me whakarea te \frac{3}{4} ki te -\frac{10}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{3\left(-10\right)}{4\times 3}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{-10}{4}$$

Whakahekea te hautanga \frac{-10}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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

Pahekotia te \frac{1}{2}x me \frac{1}{2}x, ka x.

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

Tā te mea he rite te tauraro o \frac{3}{2} me \frac{5}{2}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 5 i te 3, ka -2.

$$x+\frac{-2}{2}$$

Whakawehea te -2 ki te 2, kia riro ko -1.

$$x-1$$