Whakaoti i te 1/6+1/5+1/17+1/2

$$\frac { 1 } { 6 } + \frac { 1 } { 5 } + \frac { 1 } { 17 } + \frac { 1 } { 2 }$$

Aromātai

$$\frac{236}{255}\approx 0.925490196$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 6 me 5 ko 30. Me tahuri \frac{1}{6} me \frac{1}{5} ki te hautau me te tautūnga 30.

$$\frac{5}{30}+\frac{6}{30}+\frac{1}{17}+\frac{1}{2}$$

Tā te mea he rite te tauraro o \frac{5}{30} me \frac{6}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5+6}{30}+\frac{1}{17}+\frac{1}{2}$$

Tāpirihia te 5 ki te 6, ka 11.

$$\frac{11}{30}+\frac{1}{17}+\frac{1}{2}$$

Ko te maha noa iti rawa atu o 30 me 17 ko 510. Me tahuri \frac{11}{30} me \frac{1}{17} ki te hautau me te tautūnga 510.

$$\frac{187}{510}+\frac{30}{510}+\frac{1}{2}$$

Tā te mea he rite te tauraro o \frac{187}{510} me \frac{30}{510}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{187+30}{510}+\frac{1}{2}$$

Tāpirihia te 187 ki te 30, ka 217.

$$\frac{217}{510}+\frac{1}{2}$$

Ko te maha noa iti rawa atu o 510 me 2 ko 510. Me tahuri \frac{217}{510} me \frac{1}{2} ki te hautau me te tautūnga 510.

$$\frac{217}{510}+\frac{255}{510}$$

Tā te mea he rite te tauraro o \frac{217}{510} me \frac{255}{510}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{217+255}{510}$$

Tāpirihia te 217 ki te 255, ka 472.

$$\frac{472}{510}$$

Whakahekea te hautanga \frac{472}{510} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{236}{255}$$

Tauwehe

$$\frac{2 ^ {2} \cdot 59}{3 \cdot 5 \cdot 17} = 0.9254901960784314$$