Whakaoti i te 7/4+frac{4{5}}+6=

$$\frac{ 7 }{ 4+ \frac{ 4 }{ 5 } } +6=$$

Aromātai

$$\frac{179}{24}\approx 7.458333333$$

Ngā Upane Otinga

Me tahuri te 4 ki te hautau \frac{20}{5}.

$$\frac{7}{\frac{20}{5}+\frac{4}{5}}+6$$

Tā te mea he rite te tauraro o \frac{20}{5} me \frac{4}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{7}{\frac{20+4}{5}}+6$$

Tāpirihia te 20 ki te 4, ka 24.

$$\frac{7}{\frac{24}{5}}+6$$

Whakawehe 7 ki te \frac{24}{5} mā te whakarea 7 ki te tau huripoki o \frac{24}{5}.

$$7\times \frac{5}{24}+6$$

Tuhia te 7\times \frac{5}{24} hei hautanga kotahi.

$$\frac{7\times 5}{24}+6$$

Whakareatia te 7 ki te 5, ka 35.

$$\frac{35}{24}+6$$

Me tahuri te 6 ki te hautau \frac{144}{24}.

$$\frac{35}{24}+\frac{144}{24}$$

Tā te mea he rite te tauraro o \frac{35}{24} me \frac{144}{24}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{35+144}{24}$$

Tāpirihia te 35 ki te 144, ka 179.

$$\frac{179}{24}$$

Tauwehe

$$\frac{179}{2 ^ {3} \cdot 3} = 7\frac{11}{24} = 7.458333333333333$$