Whakaoti i te 12:(4+5:(2+1/4))=

$$12 : ( 4 + 5 : ( 2 + \frac { 1 } { 4 } ) ) =$$

Aromātai

$$\frac{27}{14}\approx 1.928571429$$

Ngā Upane Otinga

Me tahuri te 2 ki te hautau \frac{8}{4}.

$$\frac{12}{4+\frac{5}{\frac{8}{4}+\frac{1}{4}}}$$

Tā te mea he rite te tauraro o \frac{8}{4} me \frac{1}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{12}{4+\frac{5}{\frac{8+1}{4}}}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{12}{4+\frac{5}{\frac{9}{4}}}$$

Whakawehe 5 ki te \frac{9}{4} mā te whakarea 5 ki te tau huripoki o \frac{9}{4}.

$$\frac{12}{4+5\times \frac{4}{9}}$$

Tuhia te 5\times \frac{4}{9} hei hautanga kotahi.

$$\frac{12}{4+\frac{5\times 4}{9}}$$

Whakareatia te 5 ki te 4, ka 20.

$$\frac{12}{4+\frac{20}{9}}$$

Me tahuri te 4 ki te hautau \frac{36}{9}.

$$\frac{12}{\frac{36}{9}+\frac{20}{9}}$$

Tā te mea he rite te tauraro o \frac{36}{9} me \frac{20}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{12}{\frac{36+20}{9}}$$

Tāpirihia te 36 ki te 20, ka 56.

$$\frac{12}{\frac{56}{9}}$$

Whakawehe 12 ki te \frac{56}{9} mā te whakarea 12 ki te tau huripoki o \frac{56}{9}.

$$12\times \frac{9}{56}$$

Tuhia te 12\times \frac{9}{56} hei hautanga kotahi.

$$\frac{12\times 9}{56}$$

Whakareatia te 12 ki te 9, ka 108.

$$\frac{108}{56}$$

Whakahekea te hautanga \frac{108}{56} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{27}{14}$$

Tauwehe

$$\frac{3 ^ {3}}{2 \cdot 7} = 1\frac{13}{14} = 1.9285714285714286$$