Whakaoti i te {[5/4-(-2+3/4)^2]:(5/4)^2-(-2)^3}:[43/5-(-frac{4}{5})^2*(2-frac{3}{4})]

$$\{ [ \frac { 5 } { 4 } - ( - 2 + \frac { 3 } { 4 } ) ^ { 2 } ] : ( \frac { 5 } { 4 } ) ^ { 2 } - ( - 2 ) ^ { 3 } \} : [ \frac { 43 } { 5 } - ( - \frac { 4 } { 5 } ) ^ { 2 } \cdot ( 2 - \frac { 3 } { 4 } ) ]$$

Aromātai

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Ngā Upane Otinga

Tāpirihia te -2 ki te \frac{3}{4}, ka -\frac{5}{4}.

$$\frac{\frac{\frac{5}{4}-\left(-\frac{5}{4}\right)^{2}}{\left(\frac{5}{4}\right)^{2}}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Tātaihia te -\frac{5}{4} mā te pū o 2, kia riro ko \frac{25}{16}.

$$\frac{\frac{\frac{5}{4}-\frac{25}{16}}{\left(\frac{5}{4}\right)^{2}}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Tangohia te \frac{25}{16} i te \frac{5}{4}, ka -\frac{5}{16}.

$$\frac{\frac{-\frac{5}{16}}{\left(\frac{5}{4}\right)^{2}}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Tātaihia te \frac{5}{4} mā te pū o 2, kia riro ko \frac{25}{16}.

$$\frac{\frac{-\frac{5}{16}}{\frac{25}{16}}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Whakawehe -\frac{5}{16} ki te \frac{25}{16} mā te whakarea -\frac{5}{16} ki te tau huripoki o \frac{25}{16}.

$$\frac{-\frac{5}{16}\times \frac{16}{25}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Whakareatia te -\frac{5}{16} ki te \frac{16}{25}, ka -\frac{1}{5}.

$$\frac{-\frac{1}{5}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Tātaihia te -2 mā te pū o 3, kia riro ko -8.

$$\frac{-\frac{1}{5}-\left(-8\right)}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Ko te tauaro o -8 ko 8.

$$\frac{-\frac{1}{5}+8}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Tāpirihia te -\frac{1}{5} ki te 8, ka \frac{39}{5}.

$$\frac{\frac{39}{5}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Tātaihia te -\frac{4}{5} mā te pū o 2, kia riro ko \frac{16}{25}.

$$\frac{\frac{39}{5}}{\frac{43}{5}-\frac{16}{25}\left(2-\frac{3}{4}\right)}$$

Tangohia te \frac{3}{4} i te 2, ka \frac{5}{4}.

$$\frac{\frac{39}{5}}{\frac{43}{5}-\frac{16}{25}\times \frac{5}{4}}$$

Whakareatia te \frac{16}{25} ki te \frac{5}{4}, ka \frac{4}{5}.

$$\frac{\frac{39}{5}}{\frac{43}{5}-\frac{4}{5}}$$

Tangohia te \frac{4}{5} i te \frac{43}{5}, ka \frac{39}{5}.

$$\frac{\frac{39}{5}}{\frac{39}{5}}$$

Whakawehea te \frac{39}{5} ki te \frac{39}{5}, kia riro ko 1.

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Tauwehe

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