Whakaoti i te 5/24+7/60+9/40+11/210+frac{15}{504}+frac{17}{720}+frac{19}{990}

$$\frac { 5 } { 24 } + \frac { 7 } { 60 } + \frac { 9 } { 40 } + \frac { 11 } { 210 } + \frac { 15 } { 504 } + \frac { 17 } { 720 } + \frac { 19 } { 990 }$$

Aromātai

$$\frac{12473}{18480}\approx 0.674945887$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 24 me 60 ko 120. Me tahuri \frac{5}{24} me \frac{7}{60} ki te hautau me te tautūnga 120.

$$\frac{25}{120}+\frac{14}{120}+\frac{9}{40}+\frac{11}{210}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Tā te mea he rite te tauraro o \frac{25}{120} me \frac{14}{120}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{25+14}{120}+\frac{9}{40}+\frac{11}{210}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Tāpirihia te 25 ki te 14, ka 39.

$$\frac{39}{120}+\frac{9}{40}+\frac{11}{210}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Whakahekea te hautanga \frac{39}{120} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{13}{40}+\frac{9}{40}+\frac{11}{210}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Tā te mea he rite te tauraro o \frac{13}{40} me \frac{9}{40}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{13+9}{40}+\frac{11}{210}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Tāpirihia te 13 ki te 9, ka 22.

$$\frac{22}{40}+\frac{11}{210}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Whakahekea te hautanga \frac{22}{40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{11}{20}+\frac{11}{210}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Ko te maha noa iti rawa atu o 20 me 210 ko 420. Me tahuri \frac{11}{20} me \frac{11}{210} ki te hautau me te tautūnga 420.

$$\frac{231}{420}+\frac{22}{420}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Tā te mea he rite te tauraro o \frac{231}{420} me \frac{22}{420}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{231+22}{420}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Tāpirihia te 231 ki te 22, ka 253.

$$\frac{253}{420}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Whakahekea te hautanga \frac{15}{504} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{253}{420}+\frac{5}{168}+\frac{17}{720}+\frac{19}{990}$$

Ko te maha noa iti rawa atu o 420 me 168 ko 840. Me tahuri \frac{253}{420} me \frac{5}{168} ki te hautau me te tautūnga 840.

$$\frac{506}{840}+\frac{25}{840}+\frac{17}{720}+\frac{19}{990}$$

Tā te mea he rite te tauraro o \frac{506}{840} me \frac{25}{840}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{506+25}{840}+\frac{17}{720}+\frac{19}{990}$$

Tāpirihia te 506 ki te 25, ka 531.

$$\frac{531}{840}+\frac{17}{720}+\frac{19}{990}$$

Whakahekea te hautanga \frac{531}{840} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{177}{280}+\frac{17}{720}+\frac{19}{990}$$

Ko te maha noa iti rawa atu o 280 me 720 ko 5040. Me tahuri \frac{177}{280} me \frac{17}{720} ki te hautau me te tautūnga 5040.

$$\frac{3186}{5040}+\frac{119}{5040}+\frac{19}{990}$$

Tā te mea he rite te tauraro o \frac{3186}{5040} me \frac{119}{5040}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3186+119}{5040}+\frac{19}{990}$$

Tāpirihia te 3186 ki te 119, ka 3305.

$$\frac{3305}{5040}+\frac{19}{990}$$

Whakahekea te hautanga \frac{3305}{5040} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{661}{1008}+\frac{19}{990}$$

Ko te maha noa iti rawa atu o 1008 me 990 ko 55440. Me tahuri \frac{661}{1008} me \frac{19}{990} ki te hautau me te tautūnga 55440.

$$\frac{36355}{55440}+\frac{1064}{55440}$$

Tā te mea he rite te tauraro o \frac{36355}{55440} me \frac{1064}{55440}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{36355+1064}{55440}$$

Tāpirihia te 36355 ki te 1064, ka 37419.

$$\frac{37419}{55440}$$

Whakahekea te hautanga \frac{37419}{55440} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{12473}{18480}$$

Tauwehe

$$\frac{12473}{2 ^ {4} \cdot 3 \cdot 5 \cdot 7 \cdot 11} = 0.6749458874458875$$