Whakaoti i te 1/3+5/6:3/2

$$\frac { 1 } { 3 } + \frac { 5 } { 6 } : \frac { 3 } { 2 }$$

Aromātai

$$\frac{8}{9}\approx 0.888888889$$

Ngā Upane Otinga

Whakawehe \frac{5}{6} ki te \frac{3}{2} mā te whakarea \frac{5}{6} ki te tau huripoki o \frac{3}{2}.

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

Me whakarea te \frac{5}{6} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Mahia ngā whakarea i roto i te hautanga \frac{5\times 2}{6\times 3}.

$$\frac{1}{3}+\frac{10}{18}$$

Whakahekea te hautanga \frac{10}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1}{3}+\frac{5}{9}$$

Ko te maha noa iti rawa atu o 3 me 9 ko 9. Me tahuri \frac{1}{3} me \frac{5}{9} ki te hautau me te tautūnga 9.

$$\frac{3}{9}+\frac{5}{9}$$

Tā te mea he rite te tauraro o \frac{3}{9} me \frac{5}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+5}{9}$$

Tāpirihia te 3 ki te 5, ka 8.

$$\frac{8}{9}$$

Tauwehe

$$\frac{2 ^ {3}}{3 ^ {2}} = 0.8888888888888888$$