Whakaoti i te 1/1*2+1/2*3+1/3*4

$$\frac{ 1 }{ 1 \times 2 } + \frac{ 1 }{ 2 \times 3 } + \frac{ 1 }{ 3 \times 4 }$$

Aromātai

$$\frac{3}{4}=0.75$$

Ngā Upane Otinga

Whakareatia te 1 ki te 2, ka 2.

$$\frac{1}{2}+\frac{1}{2\times 3}+\frac{1}{3\times 4}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{1}{2}+\frac{1}{6}+\frac{1}{3\times 4}$$

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

$$\frac{3}{6}+\frac{1}{6}+\frac{1}{3\times 4}$$

Tā te mea he rite te tauraro o \frac{3}{6} me \frac{1}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+1}{6}+\frac{1}{3\times 4}$$

Tāpirihia te 3 ki te 1, ka 4.

$$\frac{4}{6}+\frac{1}{3\times 4}$$

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

$$\frac{2}{3}+\frac{1}{3\times 4}$$

Whakareatia te 3 ki te 4, ka 12.

$$\frac{2}{3}+\frac{1}{12}$$

Ko te maha noa iti rawa atu o 3 me 12 ko 12. Me tahuri \frac{2}{3} me \frac{1}{12} ki te hautau me te tautūnga 12.

$$\frac{8}{12}+\frac{1}{12}$$

Tā te mea he rite te tauraro o \frac{8}{12} me \frac{1}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{8+1}{12}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{9}{12}$$

Whakahekea te hautanga \frac{9}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

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

Tauwehe

$$\frac{3}{2 ^ {2}} = 0.75$$