Whakaoti i te 8/15div[(3/5+1/6)*4/23]=

$$\frac { 8 } { 15 } \div [ ( \frac { 3 } { 5 } + \frac { 1 } { 6 } ) \times \frac { 4 } { 23 } ] =$$

Aromātai

$$4$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 5 me 6 ko 30. Me tahuri \frac{3}{5} me \frac{1}{6} ki te hautau me te tautūnga 30.

$$\frac{\frac{8}{15}}{\left(\frac{18}{30}+\frac{5}{30}\right)\times \frac{4}{23}}$$

Tā te mea he rite te tauraro o \frac{18}{30} me \frac{5}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{8}{15}}{\frac{18+5}{30}\times \frac{4}{23}}$$

Tāpirihia te 18 ki te 5, ka 23.

$$\frac{\frac{8}{15}}{\frac{23}{30}\times \frac{4}{23}}$$

Me whakarea te \frac{23}{30} ki te \frac{4}{23} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{8}{15}}{\frac{23\times 4}{30\times 23}}$$

Me whakakore tahi te 23 i te taurunga me te tauraro.

$$\frac{\frac{8}{15}}{\frac{4}{30}}$$

Whakahekea te hautanga \frac{4}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{8}{15}}{\frac{2}{15}}$$

Whakawehe \frac{8}{15} ki te \frac{2}{15} mā te whakarea \frac{8}{15} ki te tau huripoki o \frac{2}{15}.

$$\frac{8}{15}\times \frac{15}{2}$$

Me whakarea te \frac{8}{15} ki te \frac{15}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{8\times 15}{15\times 2}$$

Me whakakore tahi te 15 i te taurunga me te tauraro.

$$\frac{8}{2}$$

Whakawehea te 8 ki te 2, kia riro ko 4.

$$4$$

Tauwehe

$$2^{2}$$