Whakaoti i te (1/7+1/4)div11/14+5/6

$$( \frac { 1 } { 7 } + \frac { 1 } { 4 } ) \div \frac { 11 } { 14 } + \frac { 5 } { 6 }$$

Aromātai

$$\frac{4}{3}\approx 1.333333333$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 7 me 4 ko 28. Me tahuri \frac{1}{7} me \frac{1}{4} ki te hautau me te tautūnga 28.

$$\frac{\frac{4}{28}+\frac{7}{28}}{\frac{11}{14}}+\frac{5}{6}$$

Tā te mea he rite te tauraro o \frac{4}{28} me \frac{7}{28}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{4+7}{28}}{\frac{11}{14}}+\frac{5}{6}$$

Tāpirihia te 4 ki te 7, ka 11.

$$\frac{\frac{11}{28}}{\frac{11}{14}}+\frac{5}{6}$$

Whakawehe \frac{11}{28} ki te \frac{11}{14} mā te whakarea \frac{11}{28} ki te tau huripoki o \frac{11}{14}.

$$\frac{11}{28}\times \frac{14}{11}+\frac{5}{6}$$

Me whakarea te \frac{11}{28} ki te \frac{14}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{11\times 14}{28\times 11}+\frac{5}{6}$$

Me whakakore tahi te 11 i te taurunga me te tauraro.

$$\frac{14}{28}+\frac{5}{6}$$

Whakahekea te hautanga \frac{14}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 14.

$$\frac{1}{2}+\frac{5}{6}$$

Ko te maha noa iti rawa atu o 2 me 6 ko 6. Me tahuri \frac{1}{2} me \frac{5}{6} ki te hautau me te tautūnga 6.

$$\frac{3}{6}+\frac{5}{6}$$

Tā te mea he rite te tauraro o \frac{3}{6} me \frac{5}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+5}{6}$$

Tāpirihia te 3 ki te 5, ka 8.

$$\frac{8}{6}$$

Whakahekea te hautanga \frac{8}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{4}{3}$$

Tauwehe

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$