Whakaoti i te (2/3+4/6)^2*6^2/12^2

$$( \frac { 2 } { 3 } + \frac { 4 } { 6 } ) ^ { 2 } \cdot \frac { 6 ^ { 2 } } { 12 ^ { 2 } }$$

Aromātai

$$\frac{4}{9}\approx 0.444444444$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{4}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\left(\frac{2}{3}+\frac{2}{3}\right)^{2}\times \frac{6^{2}}{12^{2}}$$

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

$$\left(\frac{4}{3}\right)^{2}\times \frac{6^{2}}{12^{2}}$$

Tātaihia te \frac{4}{3} mā te pū o 2, kia riro ko \frac{16}{9}.

$$\frac{16}{9}\times \frac{6^{2}}{12^{2}}$$

Tātaihia te 6 mā te pū o 2, kia riro ko 36.

$$\frac{16}{9}\times \frac{36}{12^{2}}$$

Tātaihia te 12 mā te pū o 2, kia riro ko 144.

$$\frac{16}{9}\times \frac{36}{144}$$

Whakahekea te hautanga \frac{36}{144} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 36.

$$\frac{16}{9}\times \frac{1}{4}$$

Whakareatia te \frac{16}{9} ki te \frac{1}{4}, ka \frac{4}{9}.

$$\frac{4}{9}$$

Tauwehe

$$\frac{2 ^ {2}}{3 ^ {2}} = 0.4444444444444444$$