Whakaoti i te 20div[(1/8+5/6)*6/23]

$$20 \div [ ( \frac { 1 } { 8 } + \frac { 5 } { 6 } ) \times \frac { 6 } { 23 } ]$$

Aromātai

$$80$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 8 me 6 ko 24. Me tahuri \frac{1}{8} me \frac{5}{6} ki te hautau me te tautūnga 24.

$$\frac{20}{\left(\frac{3}{24}+\frac{20}{24}\right)\times \frac{6}{23}}$$

Tā te mea he rite te tauraro o \frac{3}{24} me \frac{20}{24}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{20}{\frac{3+20}{24}\times \frac{6}{23}}$$

Tāpirihia te 3 ki te 20, ka 23.

$$\frac{20}{\frac{23}{24}\times \frac{6}{23}}$$

Me whakarea te \frac{23}{24} ki te \frac{6}{23} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{20}{\frac{23\times 6}{24\times 23}}$$

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

$$\frac{20}{\frac{6}{24}}$$

Whakahekea te hautanga \frac{6}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{20}{\frac{1}{4}}$$

Whakawehe 20 ki te \frac{1}{4} mā te whakarea 20 ki te tau huripoki o \frac{1}{4}.

$$20\times 4$$

Whakareatia te 20 ki te 4, ka 80.

$$80$$

Tauwehe

$$2^{4}\times 5$$