Whakaoti i te 5/6+2/3-(3/4+1/6)=

$$\frac{ 5 }{ 6 } + \frac{ 2 }{ 3 } -( \frac{ 3 }{ 4 } + \frac{ 1 }{ 6 } )=$$

Aromātai

$$\frac{7}{12}\approx 0.583333333$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 6 me 3 ko 6. Me tahuri \frac{5}{6} me \frac{2}{3} ki te hautau me te tautūnga 6.

$$\frac{5}{6}+\frac{4}{6}-\left(\frac{3}{4}+\frac{1}{6}\right)$$

Tā te mea he rite te tauraro o \frac{5}{6} me \frac{4}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5+4}{6}-\left(\frac{3}{4}+\frac{1}{6}\right)$$

Tāpirihia te 5 ki te 4, ka 9.

$$\frac{9}{6}-\left(\frac{3}{4}+\frac{1}{6}\right)$$

Whakahekea te hautanga \frac{9}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{3}{2}-\left(\frac{3}{4}+\frac{1}{6}\right)$$

Ko te maha noa iti rawa atu o 4 me 6 ko 12. Me tahuri \frac{3}{4} me \frac{1}{6} ki te hautau me te tautūnga 12.

$$\frac{3}{2}-\left(\frac{9}{12}+\frac{2}{12}\right)$$

Tā te mea he rite te tauraro o \frac{9}{12} me \frac{2}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3}{2}-\frac{9+2}{12}$$

Tāpirihia te 9 ki te 2, ka 11.

$$\frac{3}{2}-\frac{11}{12}$$

Ko te maha noa iti rawa atu o 2 me 12 ko 12. Me tahuri \frac{3}{2} me \frac{11}{12} ki te hautau me te tautūnga 12.

$$\frac{18}{12}-\frac{11}{12}$$

Tā te mea he rite te tauraro o \frac{18}{12} me \frac{11}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{18-11}{12}$$

Tangohia te 11 i te 18, ka 7.

$$\frac{7}{12}$$

Tauwehe

$$\frac{7}{2 ^ {2} \cdot 3} = 0.5833333333333334$$