Whakaoti i te 5/7+4/9+3/13

$$\frac { 5 } { 7 } + \frac { 4 } { 9 } + \frac { 3 } { 13 }$$

Aromātai

$$\frac{1138}{819}\approx 1.389499389$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 7 me 9 ko 63. Me tahuri \frac{5}{7} me \frac{4}{9} ki te hautau me te tautūnga 63.

$$\frac{45}{63}+\frac{28}{63}+\frac{3}{13}$$

Tā te mea he rite te tauraro o \frac{45}{63} me \frac{28}{63}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{45+28}{63}+\frac{3}{13}$$

Tāpirihia te 45 ki te 28, ka 73.

$$\frac{73}{63}+\frac{3}{13}$$

Ko te maha noa iti rawa atu o 63 me 13 ko 819. Me tahuri \frac{73}{63} me \frac{3}{13} ki te hautau me te tautūnga 819.

$$\frac{949}{819}+\frac{189}{819}$$

Tā te mea he rite te tauraro o \frac{949}{819} me \frac{189}{819}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{949+189}{819}$$

Tāpirihia te 949 ki te 189, ka 1138.

$$\frac{1138}{819}$$

Tauwehe

$$\frac{2 \cdot 569}{3 ^ {2} \cdot 7 \cdot 13} = 1\frac{319}{819} = 1.3894993894993894$$