Whakaoti i te (frac{2}3^2+8/9):(2-1/3)=

$$( \frac { 2 } { 3 } ^ { 2 } + \frac { 8 } { 9 } ) : ( 2 - \frac { 1 } { 3 } ) =$$

Aromātai

$$\frac{4}{5}=0.8$$

Ngā Upane Otinga

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

$$\frac{\frac{4}{9}+\frac{8}{9}}{2-\frac{1}{3}}$$

Tā te mea he rite te tauraro o \frac{4}{9} me \frac{8}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{4+8}{9}}{2-\frac{1}{3}}$$

Tāpirihia te 4 ki te 8, ka 12.

$$\frac{\frac{12}{9}}{2-\frac{1}{3}}$$

Whakahekea te hautanga \frac{12}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{\frac{4}{3}}{2-\frac{1}{3}}$$

Me tahuri te 2 ki te hautau \frac{6}{3}.

$$\frac{\frac{4}{3}}{\frac{6}{3}-\frac{1}{3}}$$

Tā te mea he rite te tauraro o \frac{6}{3} me \frac{1}{3}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{4}{3}}{\frac{6-1}{3}}$$

Tangohia te 1 i te 6, ka 5.

$$\frac{\frac{4}{3}}{\frac{5}{3}}$$

Whakawehe \frac{4}{3} ki te \frac{5}{3} mā te whakarea \frac{4}{3} ki te tau huripoki o \frac{5}{3}.

$$\frac{4}{3}\times \frac{3}{5}$$

Me whakarea te \frac{4}{3} ki te \frac{3}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{4\times 3}{3\times 5}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{4}{5}$$

Tauwehe

$$\frac{2 ^ {2}}{5} = 0.8$$