Whakaoti i te (1/3+3/4-5/9)div1/6

$$( \frac{ 1 }{ 3 } + \frac{ 3 }{ 4 } - \frac{ 5 }{ 9 } ) \div \frac{ 1 }{ 6 }$$

Aromātai

$$\frac{19}{6}\approx 3.166666667$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri \frac{1}{3} me \frac{3}{4} ki te hautau me te tautūnga 12.

$$\frac{\frac{4}{12}+\frac{9}{12}-\frac{5}{9}}{\frac{1}{6}}$$

Tā te mea he rite te tauraro o \frac{4}{12} me \frac{9}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{4+9}{12}-\frac{5}{9}}{\frac{1}{6}}$$

Tāpirihia te 4 ki te 9, ka 13.

$$\frac{\frac{13}{12}-\frac{5}{9}}{\frac{1}{6}}$$

Ko te maha noa iti rawa atu o 12 me 9 ko 36. Me tahuri \frac{13}{12} me \frac{5}{9} ki te hautau me te tautūnga 36.

$$\frac{\frac{39}{36}-\frac{20}{36}}{\frac{1}{6}}$$

Tā te mea he rite te tauraro o \frac{39}{36} me \frac{20}{36}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{39-20}{36}}{\frac{1}{6}}$$

Tangohia te 20 i te 39, ka 19.

$$\frac{\frac{19}{36}}{\frac{1}{6}}$$

Whakawehe \frac{19}{36} ki te \frac{1}{6} mā te whakarea \frac{19}{36} ki te tau huripoki o \frac{1}{6}.

$$\frac{19}{36}\times 6$$

Tuhia te \frac{19}{36}\times 6 hei hautanga kotahi.

$$\frac{19\times 6}{36}$$

Whakareatia te 19 ki te 6, ka 114.

$$\frac{114}{36}$$

Whakahekea te hautanga \frac{114}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{19}{6}$$

Tauwehe

$$\frac{19}{2 \cdot 3} = 3\frac{1}{6} = 3.1666666666666665$$