Whakaoti i te 1/2+1/6+1/12+1/20+frac{1}{30}+frac{1}{42}

$$\frac { 1 } { 2 } + \frac { 1 } { 6 } + \frac { 1 } { 12 } + \frac { 1 } { 20 } + \frac { 1 } { 30 } + \frac { 1 } { 42 }$$

Aromātai

$$\frac{6}{7}\approx 0.857142857$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 2 me 6 ko 6. Me tahuri \frac{1}{2} me \frac{1}{6} ki te hautau me te tautūnga 6.

$$\frac{3}{6}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}$$

Tā te mea he rite te tauraro o \frac{3}{6} me \frac{1}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}$$

Tāpirihia te 3 ki te 1, ka 4.

$$\frac{4}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}$$

Whakahekea te hautanga \frac{4}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{2}{3}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}$$

Ko te maha noa iti rawa atu o 3 me 12 ko 12. Me tahuri \frac{2}{3} me \frac{1}{12} ki te hautau me te tautūnga 12.

$$\frac{8}{12}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}$$

Tā te mea he rite te tauraro o \frac{8}{12} me \frac{1}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{8+1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{9}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}$$

Whakahekea te hautanga \frac{9}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{3}{4}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}$$

Ko te maha noa iti rawa atu o 4 me 20 ko 20. Me tahuri \frac{3}{4} me \frac{1}{20} ki te hautau me te tautūnga 20.

$$\frac{15}{20}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}$$

Tā te mea he rite te tauraro o \frac{15}{20} me \frac{1}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{15+1}{20}+\frac{1}{30}+\frac{1}{42}$$

Tāpirihia te 15 ki te 1, ka 16.

$$\frac{16}{20}+\frac{1}{30}+\frac{1}{42}$$

Whakahekea te hautanga \frac{16}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{4}{5}+\frac{1}{30}+\frac{1}{42}$$

Ko te maha noa iti rawa atu o 5 me 30 ko 30. Me tahuri \frac{4}{5} me \frac{1}{30} ki te hautau me te tautūnga 30.

$$\frac{24}{30}+\frac{1}{30}+\frac{1}{42}$$

Tā te mea he rite te tauraro o \frac{24}{30} me \frac{1}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{24+1}{30}+\frac{1}{42}$$

Tāpirihia te 24 ki te 1, ka 25.

$$\frac{25}{30}+\frac{1}{42}$$

Whakahekea te hautanga \frac{25}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{5}{6}+\frac{1}{42}$$

Ko te maha noa iti rawa atu o 6 me 42 ko 42. Me tahuri \frac{5}{6} me \frac{1}{42} ki te hautau me te tautūnga 42.

$$\frac{35}{42}+\frac{1}{42}$$

Tā te mea he rite te tauraro o \frac{35}{42} me \frac{1}{42}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{35+1}{42}$$

Tāpirihia te 35 ki te 1, ka 36.

$$\frac{36}{42}$$

Whakahekea te hautanga \frac{36}{42} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{6}{7}$$

Tauwehe

$$\frac{2 \cdot 3}{7} = 0.8571428571428571$$