Whakaoti i te 31/2+51/3div13/5

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

Aromātai

$$\frac{41}{6}\approx 6.833333333$$

Ngā Upane Otinga

Whakareatia te 3 ki te 2, ka 6.

$$\frac{6+1}{2}+\frac{\frac{5\times 3+1}{3}}{\frac{1\times 5+3}{5}}$$

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{7}{2}+\frac{\frac{5\times 3+1}{3}}{\frac{1\times 5+3}{5}}$$

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

$$\frac{7}{2}+\frac{\left(5\times 3+1\right)\times 5}{3\left(1\times 5+3\right)}$$

Whakareatia te 5 ki te 3, ka 15.

$$\frac{7}{2}+\frac{\left(15+1\right)\times 5}{3\left(1\times 5+3\right)}$$

Tāpirihia te 15 ki te 1, ka 16.

$$\frac{7}{2}+\frac{16\times 5}{3\left(1\times 5+3\right)}$$

Whakareatia te 16 ki te 5, ka 80.

$$\frac{7}{2}+\frac{80}{3\left(1\times 5+3\right)}$$

Whakareatia te 1 ki te 5, ka 5.

$$\frac{7}{2}+\frac{80}{3\left(5+3\right)}$$

Tāpirihia te 5 ki te 3, ka 8.

$$\frac{7}{2}+\frac{80}{3\times 8}$$

Whakareatia te 3 ki te 8, ka 24.

$$\frac{7}{2}+\frac{80}{24}$$

Whakahekea te hautanga \frac{80}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\frac{7}{2}+\frac{10}{3}$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{7}{2} me \frac{10}{3} ki te hautau me te tautūnga 6.

$$\frac{21}{6}+\frac{20}{6}$$

Tā te mea he rite te tauraro o \frac{21}{6} me \frac{20}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{21+20}{6}$$

Tāpirihia te 21 ki te 20, ka 41.

$$\frac{41}{6}$$

Tauwehe

$$\frac{41}{2 \cdot 3} = 6\frac{5}{6} = 6.833333333333333$$