Whakaoti i te 21div13/4div22/9

$$21 \div 1 \frac { 3 } { 4 } \div 2 \frac { 2 } { 9 }$$

Aromātai

$$\frac{27}{5}=5.4$$

Ngā Upane Otinga

Whakawehe \frac{21}{\frac{1\times 4+3}{4}} ki te \frac{2\times 9+2}{9} mā te whakarea \frac{21}{\frac{1\times 4+3}{4}} ki te tau huripoki o \frac{2\times 9+2}{9}.

$$\frac{21\times 9}{\frac{1\times 4+3}{4}\left(2\times 9+2\right)}$$

Whakareatia te 21 ki te 9, ka 189.

$$\frac{189}{\frac{1\times 4+3}{4}\left(2\times 9+2\right)}$$

Whakareatia te 1 ki te 4, ka 4.

$$\frac{189}{\frac{4+3}{4}\left(2\times 9+2\right)}$$

Tāpirihia te 4 ki te 3, ka 7.

$$\frac{189}{\frac{7}{4}\left(2\times 9+2\right)}$$

Whakareatia te 2 ki te 9, ka 18.

$$\frac{189}{\frac{7}{4}\left(18+2\right)}$$

Tāpirihia te 18 ki te 2, ka 20.

$$\frac{189}{\frac{7}{4}\times 20}$$

Tuhia te \frac{7}{4}\times 20 hei hautanga kotahi.

$$\frac{189}{\frac{7\times 20}{4}}$$

Whakareatia te 7 ki te 20, ka 140.

$$\frac{189}{\frac{140}{4}}$$

Whakawehea te 140 ki te 4, kia riro ko 35.

$$\frac{189}{35}$$

Whakahekea te hautanga \frac{189}{35} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{27}{5}$$

Tauwehe

$$\frac{3 ^ {3}}{5} = 5\frac{2}{5} = 5.4$$