Whakaoti i te 100*0.2^3+0.3^2:(17/52+8/65)=

$$100 \cdot 0.2 ^ { 3 } + 0.3 ^ { 2 } : ( \frac { 17 } { 52 } + \frac { 8 } { 65 } ) =$$

Aromātai

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Ngā Upane Otinga

Tātaihia te 0.2 mā te pū o 3, kia riro ko 0.008.

$$100\times 0.008+\frac{0.3^{2}}{\frac{17}{52}+\frac{8}{65}}$$

Whakareatia te 100 ki te 0.008, ka 0.8.

$$0.8+\frac{0.3^{2}}{\frac{17}{52}+\frac{8}{65}}$$

Tātaihia te 0.3 mā te pū o 2, kia riro ko 0.09.

$$0.8+\frac{0.09}{\frac{17}{52}+\frac{8}{65}}$$

Ko te maha noa iti rawa atu o 52 me 65 ko 260. Me tahuri \frac{17}{52} me \frac{8}{65} ki te hautau me te tautūnga 260.

$$0.8+\frac{0.09}{\frac{85}{260}+\frac{32}{260}}$$

Tā te mea he rite te tauraro o \frac{85}{260} me \frac{32}{260}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$0.8+\frac{0.09}{\frac{85+32}{260}}$$

Tāpirihia te 85 ki te 32, ka 117.

$$0.8+\frac{0.09}{\frac{117}{260}}$$

Whakahekea te hautanga \frac{117}{260} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 13.

$$0.8+\frac{0.09}{\frac{9}{20}}$$

Whakawehe 0.09 ki te \frac{9}{20} mā te whakarea 0.09 ki te tau huripoki o \frac{9}{20}.

$$0.8+0.09\times \frac{20}{9}$$

Me tahuri ki tau ā-ira 0.09 ki te hautau \frac{9}{100}.

$$0.8+\frac{9}{100}\times \frac{20}{9}$$

Me whakarea te \frac{9}{100} ki te \frac{20}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$0.8+\frac{9\times 20}{100\times 9}$$

Me whakakore tahi te 9 i te taurunga me te tauraro.

$$0.8+\frac{20}{100}$$

Whakahekea te hautanga \frac{20}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 20.

$$0.8+\frac{1}{5}$$

Me tahuri ki tau ā-ira 0.8 ki te hautau \frac{8}{10}. Whakahekea te hautanga \frac{8}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{4}{5}+\frac{1}{5}$$

Tā te mea he rite te tauraro o \frac{4}{5} me \frac{1}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{4+1}{5}$$

Tāpirihia te 4 ki te 1, ka 5.

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

Whakawehea te 5 ki te 5, kia riro ko 1.

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Tauwehe

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