Whakaoti i te (6+3/5+1/10)div51/2=

$$(6+ \frac{ 3 }{ 5 } + \frac{ 1 }{ 10 } ) \div 5 \frac{ 1 }{ 2 } =$$

Aromātai

$$\frac{67}{55}\approx 1.218181818$$

Ngā Upane Otinga

Me tahuri te 6 ki te hautau \frac{30}{5}.

$$\frac{\frac{30}{5}+\frac{3}{5}+\frac{1}{10}}{\frac{5\times 2+1}{2}}$$

Tā te mea he rite te tauraro o \frac{30}{5} me \frac{3}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{30+3}{5}+\frac{1}{10}}{\frac{5\times 2+1}{2}}$$

Tāpirihia te 30 ki te 3, ka 33.

$$\frac{\frac{33}{5}+\frac{1}{10}}{\frac{5\times 2+1}{2}}$$

Ko te maha noa iti rawa atu o 5 me 10 ko 10. Me tahuri \frac{33}{5} me \frac{1}{10} ki te hautau me te tautūnga 10.

$$\frac{\frac{66}{10}+\frac{1}{10}}{\frac{5\times 2+1}{2}}$$

Tā te mea he rite te tauraro o \frac{66}{10} me \frac{1}{10}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{66+1}{10}}{\frac{5\times 2+1}{2}}$$

Tāpirihia te 66 ki te 1, ka 67.

$$\frac{\frac{67}{10}}{\frac{5\times 2+1}{2}}$$

Whakareatia te 5 ki te 2, ka 10.

$$\frac{\frac{67}{10}}{\frac{10+1}{2}}$$

Tāpirihia te 10 ki te 1, ka 11.

$$\frac{\frac{67}{10}}{\frac{11}{2}}$$

Whakawehe \frac{67}{10} ki te \frac{11}{2} mā te whakarea \frac{67}{10} ki te tau huripoki o \frac{11}{2}.

$$\frac{67}{10}\times \frac{2}{11}$$

Me whakarea te \frac{67}{10} ki te \frac{2}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{67\times 2}{10\times 11}$$

Mahia ngā whakarea i roto i te hautanga \frac{67\times 2}{10\times 11}.

$$\frac{134}{110}$$

Whakahekea te hautanga \frac{134}{110} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{67}{55}$$

Tauwehe

$$\frac{67}{5 \cdot 11} = 1\frac{12}{55} = 1.2181818181818183$$