Whakaoti i te -47/14+7/4+11/4/frac{4{3}}

$$\frac{ \frac{ -47 }{ 14 } + \frac{ 7 }{ 4 } + \frac{ 11 }{ 4 } }{ \frac{ 4 }{ 3 } }$$

Aromātai

$$\frac{6}{7}\approx 0.857142857$$

Ngā Upane Otinga

Ka taea te hautanga \frac{-47}{14} te tuhi anō ko -\frac{47}{14} mā te tango i te tohu tōraro.

$$\frac{-\frac{47}{14}+\frac{7}{4}+\frac{11}{4}}{\frac{4}{3}}$$

Ko te maha noa iti rawa atu o 14 me 4 ko 28. Me tahuri -\frac{47}{14} me \frac{7}{4} ki te hautau me te tautūnga 28.

$$\frac{-\frac{94}{28}+\frac{49}{28}+\frac{11}{4}}{\frac{4}{3}}$$

Tā te mea he rite te tauraro o -\frac{94}{28} me \frac{49}{28}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{-94+49}{28}+\frac{11}{4}}{\frac{4}{3}}$$

Tāpirihia te -94 ki te 49, ka -45.

$$\frac{-\frac{45}{28}+\frac{11}{4}}{\frac{4}{3}}$$

Ko te maha noa iti rawa atu o 28 me 4 ko 28. Me tahuri -\frac{45}{28} me \frac{11}{4} ki te hautau me te tautūnga 28.

$$\frac{-\frac{45}{28}+\frac{77}{28}}{\frac{4}{3}}$$

Tā te mea he rite te tauraro o -\frac{45}{28} me \frac{77}{28}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{-45+77}{28}}{\frac{4}{3}}$$

Tāpirihia te -45 ki te 77, ka 32.

$$\frac{\frac{32}{28}}{\frac{4}{3}}$$

Whakahekea te hautanga \frac{32}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

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

Whakawehe \frac{8}{7} ki te \frac{4}{3} mā te whakarea \frac{8}{7} ki te tau huripoki o \frac{4}{3}.

$$\frac{8}{7}\times \frac{3}{4}$$

Me whakarea te \frac{8}{7} ki te \frac{3}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{8\times 3}{7\times 4}$$

Mahia ngā whakarea i roto i te hautanga \frac{8\times 3}{7\times 4}.

$$\frac{24}{28}$$

Whakahekea te hautanga \frac{24}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{6}{7}$$

Tauwehe

$$\frac{2 \cdot 3}{7} = 0.8571428571428571$$