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

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

Aromātai

$$\frac{11x}{12}-\frac{1}{6}$$

Ngā Upane Otinga

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

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

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

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

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{4} ki te x-2.

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

Whakareatia te \frac{1}{4} ki te -2, ka \frac{-2}{4}.

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

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

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

Pahekotia te \frac{2}{3}x me \frac{1}{4}x, ka \frac{11}{12}x.

$$\frac{11}{12}x+\frac{1}{3}-\frac{1}{2}$$

Ko te maha noa iti rawa atu o 3 me 2 ko 6. Me tahuri \frac{1}{3} me \frac{1}{2} ki te hautau me te tautūnga 6.

$$\frac{11}{12}x+\frac{2}{6}-\frac{3}{6}$$

Tā te mea he rite te tauraro o \frac{2}{6} me \frac{3}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{11}{12}x+\frac{2-3}{6}$$

Tangohia te 3 i te 2, ka -1.

$$\frac{11}{12}x-\frac{1}{6}$$

Whakaroha

$$\frac{11x}{12}-\frac{1}{6}$$

Ngā Upane Otinga

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

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

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

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

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{4} ki te x-2.

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

Whakareatia te \frac{1}{4} ki te -2, ka \frac{-2}{4}.

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

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

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

Pahekotia te \frac{2}{3}x me \frac{1}{4}x, ka \frac{11}{12}x.

$$\frac{11}{12}x+\frac{1}{3}-\frac{1}{2}$$

Ko te maha noa iti rawa atu o 3 me 2 ko 6. Me tahuri \frac{1}{3} me \frac{1}{2} ki te hautau me te tautūnga 6.

$$\frac{11}{12}x+\frac{2}{6}-\frac{3}{6}$$

Tā te mea he rite te tauraro o \frac{2}{6} me \frac{3}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{11}{12}x+\frac{2-3}{6}$$

Tangohia te 3 i te 2, ka -1.

$$\frac{11}{12}x-\frac{1}{6}$$