Whakaoti i te 23/5+41/5div21/3

$$2 \frac { 3 } { 5 } + 4 \frac { 1 } { 5 } \div 2 \frac { 1 } { 3 }$$

Aromātai

$$\frac{22}{5}=4.4$$

Ngā Upane Otinga

Whakareatia te 2 ki te 5, ka 10.

$$\frac{10+3}{5}+\frac{\frac{4\times 5+1}{5}}{\frac{2\times 3+1}{3}}$$

Tāpirihia te 10 ki te 3, ka 13.

$$\frac{13}{5}+\frac{\frac{4\times 5+1}{5}}{\frac{2\times 3+1}{3}}$$

Whakawehe \frac{4\times 5+1}{5} ki te \frac{2\times 3+1}{3} mā te whakarea \frac{4\times 5+1}{5} ki te tau huripoki o \frac{2\times 3+1}{3}.

$$\frac{13}{5}+\frac{\left(4\times 5+1\right)\times 3}{5\left(2\times 3+1\right)}$$

Whakareatia te 4 ki te 5, ka 20.

$$\frac{13}{5}+\frac{\left(20+1\right)\times 3}{5\left(2\times 3+1\right)}$$

Tāpirihia te 20 ki te 1, ka 21.

$$\frac{13}{5}+\frac{21\times 3}{5\left(2\times 3+1\right)}$$

Whakareatia te 21 ki te 3, ka 63.

$$\frac{13}{5}+\frac{63}{5\left(2\times 3+1\right)}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{13}{5}+\frac{63}{5\left(6+1\right)}$$

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{13}{5}+\frac{63}{5\times 7}$$

Whakareatia te 5 ki te 7, ka 35.

$$\frac{13}{5}+\frac{63}{35}$$

Whakahekea te hautanga \frac{63}{35} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{13}{5}+\frac{9}{5}$$

Tā te mea he rite te tauraro o \frac{13}{5} me \frac{9}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{13+9}{5}$$

Tāpirihia te 13 ki te 9, ka 22.

$$\frac{22}{5}$$

Tauwehe

$$\frac{2 \cdot 11}{5} = 4\frac{2}{5} = 4.4$$