Whakaoti i te 7/6+1/4+3/2+4/8+frac{8}{4}+frac{8}{4}

$$\frac { 7 } { 6 } + \frac { 1 } { 4 } + \frac { 3 } { 2 } + \frac { 4 } { 8 } + \frac { 8 } { 4 } + \frac { 8 } { 4 }$$

Aromātai

$$\frac{89}{12}\approx 7.416666667$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 6 me 4 ko 12. Me tahuri \frac{7}{6} me \frac{1}{4} ki te hautau me te tautūnga 12.

$$\frac{14}{12}+\frac{3}{12}+\frac{3}{2}+\frac{4}{8}+\frac{8}{4}+\frac{8}{4}$$

Tā te mea he rite te tauraro o \frac{14}{12} me \frac{3}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{14+3}{12}+\frac{3}{2}+\frac{4}{8}+\frac{8}{4}+\frac{8}{4}$$

Tāpirihia te 14 ki te 3, ka 17.

$$\frac{17}{12}+\frac{3}{2}+\frac{4}{8}+\frac{8}{4}+\frac{8}{4}$$

Ko te maha noa iti rawa atu o 12 me 2 ko 12. Me tahuri \frac{17}{12} me \frac{3}{2} ki te hautau me te tautūnga 12.

$$\frac{17}{12}+\frac{18}{12}+\frac{4}{8}+\frac{8}{4}+\frac{8}{4}$$

Tā te mea he rite te tauraro o \frac{17}{12} me \frac{18}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{17+18}{12}+\frac{4}{8}+\frac{8}{4}+\frac{8}{4}$$

Tāpirihia te 17 ki te 18, ka 35.

$$\frac{35}{12}+\frac{4}{8}+\frac{8}{4}+\frac{8}{4}$$

Whakahekea te hautanga \frac{4}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{35}{12}+\frac{1}{2}+\frac{8}{4}+\frac{8}{4}$$

Ko te maha noa iti rawa atu o 12 me 2 ko 12. Me tahuri \frac{35}{12} me \frac{1}{2} ki te hautau me te tautūnga 12.

$$\frac{35}{12}+\frac{6}{12}+\frac{8}{4}+\frac{8}{4}$$

Tā te mea he rite te tauraro o \frac{35}{12} me \frac{6}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{35+6}{12}+\frac{8}{4}+\frac{8}{4}$$

Tāpirihia te 35 ki te 6, ka 41.

$$\frac{41}{12}+\frac{8}{4}+\frac{8}{4}$$

Whakawehea te 8 ki te 4, kia riro ko 2.

$$\frac{41}{12}+2+\frac{8}{4}$$

Me tahuri te 2 ki te hautau \frac{24}{12}.

$$\frac{41}{12}+\frac{24}{12}+\frac{8}{4}$$

Tā te mea he rite te tauraro o \frac{41}{12} me \frac{24}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{41+24}{12}+\frac{8}{4}$$

Tāpirihia te 41 ki te 24, ka 65.

$$\frac{65}{12}+\frac{8}{4}$$

Whakawehea te 8 ki te 4, kia riro ko 2.

$$\frac{65}{12}+2$$

Me tahuri te 2 ki te hautau \frac{24}{12}.

$$\frac{65}{12}+\frac{24}{12}$$

Tā te mea he rite te tauraro o \frac{65}{12} me \frac{24}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{65+24}{12}$$

Tāpirihia te 65 ki te 24, ka 89.

$$\frac{89}{12}$$

Tauwehe

$$\frac{89}{2 ^ {2} \cdot 3} = 7\frac{5}{12} = 7.416666666666667$$