Whakaoti i te (2/3+1/5)5/2+5/6

$$( \frac{ 2 }{ 3 } + \frac{ 1 }{ 5 } ) \frac{ 5 }{ 2 } + \frac{ 5 }{ 6 }$$

Aromātai

$$3$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri \frac{2}{3} me \frac{1}{5} ki te hautau me te tautūnga 15.

$$\left(\frac{10}{15}+\frac{3}{15}\right)\times \frac{5}{2}+\frac{5}{6}$$

Tā te mea he rite te tauraro o \frac{10}{15} me \frac{3}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{10+3}{15}\times \frac{5}{2}+\frac{5}{6}$$

Tāpirihia te 10 ki te 3, ka 13.

$$\frac{13}{15}\times \frac{5}{2}+\frac{5}{6}$$

Me whakarea te \frac{13}{15} ki te \frac{5}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{13\times 5}{15\times 2}+\frac{5}{6}$$

Mahia ngā whakarea i roto i te hautanga \frac{13\times 5}{15\times 2}.

$$\frac{65}{30}+\frac{5}{6}$$

Whakahekea te hautanga \frac{65}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{13}{6}+\frac{5}{6}$$

Tā te mea he rite te tauraro o \frac{13}{6} me \frac{5}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{13+5}{6}$$

Tāpirihia te 13 ki te 5, ka 18.

$$\frac{18}{6}$$

Whakawehea te 18 ki te 6, kia riro ko 3.

$$3$$

Tauwehe

$$3$$