Whakaoti i te [1/2+2/3]-[1/2-2/3]

$$[ \frac { 1 } { 2 } + \frac { 2 } { 3 } ] - [ \frac { 1 } { 2 } - \frac { 2 } { 3 } ]$$

Aromātai

$$\frac{4}{3}\approx 1.333333333$$

Ngā Upane Otinga

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

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

Tā te mea he rite te tauraro o \frac{3}{6} me \frac{4}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tāpirihia te 3 ki te 4, ka 7.

$$\frac{7}{6}-\left(\frac{1}{2}-\frac{2}{3}\right)$$

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

$$\frac{7}{6}-\left(\frac{3}{6}-\frac{4}{6}\right)$$

Tā te mea he rite te tauraro o \frac{3}{6} me \frac{4}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{7}{6}-\frac{3-4}{6}$$

Tangohia te 4 i te 3, ka -1.

$$\frac{7}{6}-\left(-\frac{1}{6}\right)$$

Ko te tauaro o -\frac{1}{6} ko \frac{1}{6}.

$$\frac{7}{6}+\frac{1}{6}$$

Tā te mea he rite te tauraro o \frac{7}{6} me \frac{1}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{7+1}{6}$$

Tāpirihia te 7 ki te 1, ka 8.

$$\frac{8}{6}$$

Whakahekea te hautanga \frac{8}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{4}{3}$$

Tauwehe

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$