Whakaoti i te 5/4+2{1+frac{3/4}}

$$\frac { 5 } { 4 + \frac { 2 } { 1 + \frac { 3 } { 4 } } }$$

Aromātai

$$\frac{35}{36}\approx 0.972222222$$

Ngā Upane Otinga

Me tahuri te 1 ki te hautau \frac{4}{4}.

$$\frac{5}{4+\frac{2}{\frac{4}{4}+\frac{3}{4}}}$$

Tā te mea he rite te tauraro o \frac{4}{4} me \frac{3}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5}{4+\frac{2}{\frac{4+3}{4}}}$$

Tāpirihia te 4 ki te 3, ka 7.

$$\frac{5}{4+\frac{2}{\frac{7}{4}}}$$

Whakawehe 2 ki te \frac{7}{4} mā te whakarea 2 ki te tau huripoki o \frac{7}{4}.

$$\frac{5}{4+2\times \frac{4}{7}}$$

Tuhia te 2\times \frac{4}{7} hei hautanga kotahi.

$$\frac{5}{4+\frac{2\times 4}{7}}$$

Whakareatia te 2 ki te 4, ka 8.

$$\frac{5}{4+\frac{8}{7}}$$

Me tahuri te 4 ki te hautau \frac{28}{7}.

$$\frac{5}{\frac{28}{7}+\frac{8}{7}}$$

Tā te mea he rite te tauraro o \frac{28}{7} me \frac{8}{7}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5}{\frac{28+8}{7}}$$

Tāpirihia te 28 ki te 8, ka 36.

$$\frac{5}{\frac{36}{7}}$$

Whakawehe 5 ki te \frac{36}{7} mā te whakarea 5 ki te tau huripoki o \frac{36}{7}.

$$5\times \frac{7}{36}$$

Tuhia te 5\times \frac{7}{36} hei hautanga kotahi.

$$\frac{5\times 7}{36}$$

Whakareatia te 5 ki te 7, ka 35.

$$\frac{35}{36}$$

Tauwehe

$$\frac{5 \cdot 7}{2 ^ {2} \cdot 3 ^ {2}} = 0.9722222222222222$$