Whakaoti i te 1/5+1/6+1/7

$$\frac { 1 } { 5 } + \frac { 1 } { 6 } + \frac { 1 } { 7 }$$

Aromātai

$$\frac{107}{210}\approx 0.50952381$$

Ngā Upane Otinga

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

$$\frac{6}{30}+\frac{5}{30}+\frac{1}{7}$$

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

$$\frac{6+5}{30}+\frac{1}{7}$$

Tāpirihia te 6 ki te 5, ka 11.

$$\frac{11}{30}+\frac{1}{7}$$

Ko te maha noa iti rawa atu o 30 me 7 ko 210. Me tahuri \frac{11}{30} me \frac{1}{7} ki te hautau me te tautūnga 210.

$$\frac{77}{210}+\frac{30}{210}$$

Tā te mea he rite te tauraro o \frac{77}{210} me \frac{30}{210}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{77+30}{210}$$

Tāpirihia te 77 ki te 30, ka 107.

$$\frac{107}{210}$$

Tauwehe

$$\frac{107}{2 \cdot 3 \cdot 5 \cdot 7} = 0.5095238095238095$$