Whakaoti i te 5div31/3=3div10/3=?

$$5 \div 3 \frac { 1 } { 3 } = 3 \div \frac { 10 } { 3 } = ?$$

Manatoko

Ngā Upane Otinga

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

$$\frac{5\times 3}{3\times 3+1}=\frac{3}{\frac{10}{3}}$$

Whakareatia te 5 ki te 3, ka 15.

$$\frac{15}{3\times 3+1}=\frac{3}{\frac{10}{3}}$$

Whakareatia te 3 ki te 3, ka 9.

$$\frac{15}{9+1}=\frac{3}{\frac{10}{3}}$$

Tāpirihia te 9 ki te 1, ka 10.

$$\frac{15}{10}=\frac{3}{\frac{10}{3}}$$

Whakahekea te hautanga \frac{15}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{3}{2}=\frac{3}{\frac{10}{3}}$$

Whakawehe 3 ki te \frac{10}{3} mā te whakarea 3 ki te tau huripoki o \frac{10}{3}.

$$\frac{3}{2}=3\times \frac{3}{10}$$

Tuhia te 3\times \frac{3}{10} hei hautanga kotahi.

$$\frac{3}{2}=\frac{3\times 3}{10}$$

Whakareatia te 3 ki te 3, ka 9.

$$\frac{3}{2}=\frac{9}{10}$$

Ko te maha noa iti rawa atu o 2 me 10 ko 10. Me tahuri \frac{3}{2} me \frac{9}{10} ki te hautau me te tautūnga 10.

$$\frac{15}{10}=\frac{9}{10}$$

Whakatauritea te \frac{15}{10} me te \frac{9}{10}.

$$\text{false}$$