Whakaoti i te (1/4+2/3+7/8+4/7)=

$$( \frac { 1 } { 4 } + \frac { 2 } { 3 } + \frac { 7 } { 8 } + \frac { 4 } { 7 } ) =$$

Aromātai

$$\frac{397}{168}\approx 2.363095238$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 4 me 3 ko 12. Me tahuri \frac{1}{4} me \frac{2}{3} ki te hautau me te tautūnga 12.

$$\frac{3}{12}+\frac{8}{12}+\frac{7}{8}+\frac{4}{7}$$

Tā te mea he rite te tauraro o \frac{3}{12} me \frac{8}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+8}{12}+\frac{7}{8}+\frac{4}{7}$$

Tāpirihia te 3 ki te 8, ka 11.

$$\frac{11}{12}+\frac{7}{8}+\frac{4}{7}$$

Ko te maha noa iti rawa atu o 12 me 8 ko 24. Me tahuri \frac{11}{12} me \frac{7}{8} ki te hautau me te tautūnga 24.

$$\frac{22}{24}+\frac{21}{24}+\frac{4}{7}$$

Tā te mea he rite te tauraro o \frac{22}{24} me \frac{21}{24}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{22+21}{24}+\frac{4}{7}$$

Tāpirihia te 22 ki te 21, ka 43.

$$\frac{43}{24}+\frac{4}{7}$$

Ko te maha noa iti rawa atu o 24 me 7 ko 168. Me tahuri \frac{43}{24} me \frac{4}{7} ki te hautau me te tautūnga 168.

$$\frac{301}{168}+\frac{96}{168}$$

Tā te mea he rite te tauraro o \frac{301}{168} me \frac{96}{168}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{301+96}{168}$$

Tāpirihia te 301 ki te 96, ka 397.

$$\frac{397}{168}$$

Tauwehe

$$\frac{397}{2 ^ {3} \cdot 3 \cdot 7} = 2\frac{61}{168} = 2.363095238095238$$