Whakaoti i te 1^2/4+4/5+2/5/{left(frac{2{3}right)}^3}

$$\frac{ { 1 }^{ 2 } }{ 4 } + \frac{ 4 }{ 5 } + \frac{ \frac{ 2 }{ 5 } }{ { \left( \frac{ 2 }{ 3 } \right) }^{ 3 } }$$

Aromātai

$$\frac{12}{5}=2.4$$

Ngā Upane Otinga

Tātaihia te 1 mā te pū o 2, kia riro ko 1.

$$\frac{1}{4}+\frac{4}{5}+\frac{\frac{2}{5}}{\left(\frac{2}{3}\right)^{3}}$$

Ko te maha noa iti rawa atu o 4 me 5 ko 20. Me tahuri \frac{1}{4} me \frac{4}{5} ki te hautau me te tautūnga 20.

$$\frac{5}{20}+\frac{16}{20}+\frac{\frac{2}{5}}{\left(\frac{2}{3}\right)^{3}}$$

Tā te mea he rite te tauraro o \frac{5}{20} me \frac{16}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5+16}{20}+\frac{\frac{2}{5}}{\left(\frac{2}{3}\right)^{3}}$$

Tāpirihia te 5 ki te 16, ka 21.

$$\frac{21}{20}+\frac{\frac{2}{5}}{\left(\frac{2}{3}\right)^{3}}$$

Tātaihia te \frac{2}{3} mā te pū o 3, kia riro ko \frac{8}{27}.

$$\frac{21}{20}+\frac{\frac{2}{5}}{\frac{8}{27}}$$

Whakawehe \frac{2}{5} ki te \frac{8}{27} mā te whakarea \frac{2}{5} ki te tau huripoki o \frac{8}{27}.

$$\frac{21}{20}+\frac{2}{5}\times \frac{27}{8}$$

Me whakarea te \frac{2}{5} ki te \frac{27}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{21}{20}+\frac{2\times 27}{5\times 8}$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 27}{5\times 8}.

$$\frac{21}{20}+\frac{54}{40}$$

Whakahekea te hautanga \frac{54}{40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{21}{20}+\frac{27}{20}$$

Tā te mea he rite te tauraro o \frac{21}{20} me \frac{27}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{21+27}{20}$$

Tāpirihia te 21 ki te 27, ka 48.

$$\frac{48}{20}$$

Whakahekea te hautanga \frac{48}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{12}{5}$$

Tauwehe

$$\frac{2 ^ {2} \cdot 3}{5} = 2\frac{2}{5} = 2.4$$