Whakaoti i te 8/15div[5/32*(9/10+1/6)]

$$\frac { 8 } { 15 } \div [ \frac { 5 } { 32 } \times ( \frac { 9 } { 10 } + \frac { 1 } { 6 } ) ]$$

Aromātai

$$\frac{16}{5}=3.2$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 10 me 6 ko 30. Me tahuri \frac{9}{10} me \frac{1}{6} ki te hautau me te tautūnga 30.

$$\frac{\frac{8}{15}}{\frac{5}{32}\left(\frac{27}{30}+\frac{5}{30}\right)}$$

Tā te mea he rite te tauraro o \frac{27}{30} me \frac{5}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{8}{15}}{\frac{5}{32}\times \frac{27+5}{30}}$$

Tāpirihia te 27 ki te 5, ka 32.

$$\frac{\frac{8}{15}}{\frac{5}{32}\times \frac{32}{30}}$$

Whakahekea te hautanga \frac{32}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{8}{15}}{\frac{5}{32}\times \frac{16}{15}}$$

Me whakarea te \frac{5}{32} ki te \frac{16}{15} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{8}{15}}{\frac{5\times 16}{32\times 15}}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 16}{32\times 15}.

$$\frac{\frac{8}{15}}{\frac{80}{480}}$$

Whakahekea te hautanga \frac{80}{480} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 80.

$$\frac{\frac{8}{15}}{\frac{1}{6}}$$

Whakawehe \frac{8}{15} ki te \frac{1}{6} mā te whakarea \frac{8}{15} ki te tau huripoki o \frac{1}{6}.

$$\frac{8}{15}\times 6$$

Tuhia te \frac{8}{15}\times 6 hei hautanga kotahi.

$$\frac{8\times 6}{15}$$

Whakareatia te 8 ki te 6, ka 48.

$$\frac{48}{15}$$

Whakahekea te hautanga \frac{48}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{16}{5}$$

Tauwehe

$$\frac{2 ^ {4}}{5} = 3\frac{1}{5} = 3.2$$