Whakaoti i te 1/3div(1/60+1/90+1/40)

$$\frac { 1 } { 3 } \div ( \frac { 1 } { 60 } + \frac { 1 } { 90 } + \frac { 1 } { 40 } )$$

Aromātai

$$\frac{120}{19}\approx 6.315789474$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 60 me 90 ko 180. Me tahuri \frac{1}{60} me \frac{1}{90} ki te hautau me te tautūnga 180.

$$\frac{\frac{1}{3}}{\frac{3}{180}+\frac{2}{180}+\frac{1}{40}}$$

Tā te mea he rite te tauraro o \frac{3}{180} me \frac{2}{180}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{1}{3}}{\frac{3+2}{180}+\frac{1}{40}}$$

Tāpirihia te 3 ki te 2, ka 5.

$$\frac{\frac{1}{3}}{\frac{5}{180}+\frac{1}{40}}$$

Whakahekea te hautanga \frac{5}{180} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{\frac{1}{3}}{\frac{1}{36}+\frac{1}{40}}$$

Ko te maha noa iti rawa atu o 36 me 40 ko 360. Me tahuri \frac{1}{36} me \frac{1}{40} ki te hautau me te tautūnga 360.

$$\frac{\frac{1}{3}}{\frac{10}{360}+\frac{9}{360}}$$

Tā te mea he rite te tauraro o \frac{10}{360} me \frac{9}{360}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{1}{3}}{\frac{10+9}{360}}$$

Tāpirihia te 10 ki te 9, ka 19.

$$\frac{\frac{1}{3}}{\frac{19}{360}}$$

Whakawehe \frac{1}{3} ki te \frac{19}{360} mā te whakarea \frac{1}{3} ki te tau huripoki o \frac{19}{360}.

$$\frac{1}{3}\times \frac{360}{19}$$

Me whakarea te \frac{1}{3} ki te \frac{360}{19} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 360}{3\times 19}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 360}{3\times 19}.

$$\frac{360}{57}$$

Whakahekea te hautanga \frac{360}{57} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{120}{19}$$

Tauwehe

$$\frac{2 ^ {3} \cdot 3 \cdot 5}{19} = 6\frac{6}{19} = 6.315789473684211$$