Whakaoti i te 2/3+31/6+42/9+25/18

$$\frac { 2 } { 3 } + 3 \frac { 1 } { 6 } + 4 \frac { 2 } { 9 } + 2 \frac { 5 } { 18 }$$

Aromātai

$$\frac{31}{3}\approx 10.333333333$$

Ngā Upane Otinga

Whakareatia te 3 ki te 6, ka 18.

$$\frac{2}{3}+\frac{18+1}{6}+\frac{4\times 9+2}{9}+\frac{2\times 18+5}{18}$$

Tāpirihia te 18 ki te 1, ka 19.

$$\frac{2}{3}+\frac{19}{6}+\frac{4\times 9+2}{9}+\frac{2\times 18+5}{18}$$

Ko te maha noa iti rawa atu o 3 me 6 ko 6. Me tahuri \frac{2}{3} me \frac{19}{6} ki te hautau me te tautūnga 6.

$$\frac{4}{6}+\frac{19}{6}+\frac{4\times 9+2}{9}+\frac{2\times 18+5}{18}$$

Tā te mea he rite te tauraro o \frac{4}{6} me \frac{19}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{4+19}{6}+\frac{4\times 9+2}{9}+\frac{2\times 18+5}{18}$$

Tāpirihia te 4 ki te 19, ka 23.

$$\frac{23}{6}+\frac{4\times 9+2}{9}+\frac{2\times 18+5}{18}$$

Whakareatia te 4 ki te 9, ka 36.

$$\frac{23}{6}+\frac{36+2}{9}+\frac{2\times 18+5}{18}$$

Tāpirihia te 36 ki te 2, ka 38.

$$\frac{23}{6}+\frac{38}{9}+\frac{2\times 18+5}{18}$$

Ko te maha noa iti rawa atu o 6 me 9 ko 18. Me tahuri \frac{23}{6} me \frac{38}{9} ki te hautau me te tautūnga 18.

$$\frac{69}{18}+\frac{76}{18}+\frac{2\times 18+5}{18}$$

Tā te mea he rite te tauraro o \frac{69}{18} me \frac{76}{18}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{69+76}{18}+\frac{2\times 18+5}{18}$$

Tāpirihia te 69 ki te 76, ka 145.

$$\frac{145}{18}+\frac{2\times 18+5}{18}$$

Whakareatia te 2 ki te 18, ka 36.

$$\frac{145}{18}+\frac{36+5}{18}$$

Tāpirihia te 36 ki te 5, ka 41.

$$\frac{145}{18}+\frac{41}{18}$$

Tā te mea he rite te tauraro o \frac{145}{18} me \frac{41}{18}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{145+41}{18}$$

Tāpirihia te 145 ki te 41, ka 186.

$$\frac{186}{18}$$

Whakahekea te hautanga \frac{186}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{31}{3}$$

Tauwehe

$$\frac{31}{3} = 10\frac{1}{3} = 10.333333333333334$$