Whakaoti i te 8/9+12/11+16/13/frac{2{9}+frac{3}{11}+frac{4}{13}}

$$\frac{ \frac{ 8 }{ 9 } + \frac{ 12 }{ 11 } + \frac{ 16 }{ 13 } }{ \frac{ 2 }{ 9 } + \frac{ 3 }{ 11 } + \frac{ 4 }{ 13 } }$$

Aromātai

$$4$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 9 me 11 ko 99. Me tahuri \frac{8}{9} me \frac{12}{11} ki te hautau me te tautūnga 99.

$$\frac{\frac{88}{99}+\frac{108}{99}+\frac{16}{13}}{\frac{2}{9}+\frac{3}{11}+\frac{4}{13}}$$

Tā te mea he rite te tauraro o \frac{88}{99} me \frac{108}{99}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{88+108}{99}+\frac{16}{13}}{\frac{2}{9}+\frac{3}{11}+\frac{4}{13}}$$

Tāpirihia te 88 ki te 108, ka 196.

$$\frac{\frac{196}{99}+\frac{16}{13}}{\frac{2}{9}+\frac{3}{11}+\frac{4}{13}}$$

Ko te maha noa iti rawa atu o 99 me 13 ko 1287. Me tahuri \frac{196}{99} me \frac{16}{13} ki te hautau me te tautūnga 1287.

$$\frac{\frac{2548}{1287}+\frac{1584}{1287}}{\frac{2}{9}+\frac{3}{11}+\frac{4}{13}}$$

Tā te mea he rite te tauraro o \frac{2548}{1287} me \frac{1584}{1287}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{2548+1584}{1287}}{\frac{2}{9}+\frac{3}{11}+\frac{4}{13}}$$

Tāpirihia te 2548 ki te 1584, ka 4132.

$$\frac{\frac{4132}{1287}}{\frac{2}{9}+\frac{3}{11}+\frac{4}{13}}$$

Ko te maha noa iti rawa atu o 9 me 11 ko 99. Me tahuri \frac{2}{9} me \frac{3}{11} ki te hautau me te tautūnga 99.

$$\frac{\frac{4132}{1287}}{\frac{22}{99}+\frac{27}{99}+\frac{4}{13}}$$

Tā te mea he rite te tauraro o \frac{22}{99} me \frac{27}{99}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{4132}{1287}}{\frac{22+27}{99}+\frac{4}{13}}$$

Tāpirihia te 22 ki te 27, ka 49.

$$\frac{\frac{4132}{1287}}{\frac{49}{99}+\frac{4}{13}}$$

Ko te maha noa iti rawa atu o 99 me 13 ko 1287. Me tahuri \frac{49}{99} me \frac{4}{13} ki te hautau me te tautūnga 1287.

$$\frac{\frac{4132}{1287}}{\frac{637}{1287}+\frac{396}{1287}}$$

Tā te mea he rite te tauraro o \frac{637}{1287} me \frac{396}{1287}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{4132}{1287}}{\frac{637+396}{1287}}$$

Tāpirihia te 637 ki te 396, ka 1033.

$$\frac{\frac{4132}{1287}}{\frac{1033}{1287}}$$

Whakawehe \frac{4132}{1287} ki te \frac{1033}{1287} mā te whakarea \frac{4132}{1287} ki te tau huripoki o \frac{1033}{1287}.

$$\frac{4132}{1287}\times \frac{1287}{1033}$$

Me whakarea te \frac{4132}{1287} ki te \frac{1287}{1033} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{4132\times 1287}{1287\times 1033}$$

Me whakakore tahi te 1287 i te taurunga me te tauraro.

$$\frac{4132}{1033}$$

Whakawehea te 4132 ki te 1033, kia riro ko 4.

$$4$$

Tauwehe

$$2^{2}$$