Whakaoti i te 1div((1div(100div15+2))+.05)

$$1 \div ((1 \div (100 \div 15+2))+.05)$$

Aromātai

$$\frac{260}{43}\approx 6.046511628$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{100}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{1}{\frac{1}{\frac{20}{3}+2}+0.05}$$

Me tahuri te 2 ki te hautau \frac{6}{3}.

$$\frac{1}{\frac{1}{\frac{20}{3}+\frac{6}{3}}+0.05}$$

Tā te mea he rite te tauraro o \frac{20}{3} me \frac{6}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{\frac{1}{\frac{20+6}{3}}+0.05}$$

Tāpirihia te 20 ki te 6, ka 26.

$$\frac{1}{\frac{1}{\frac{26}{3}}+0.05}$$

Whakawehe 1 ki te \frac{26}{3} mā te whakarea 1 ki te tau huripoki o \frac{26}{3}.

$$\frac{1}{1\times \frac{3}{26}+0.05}$$

Whakareatia te 1 ki te \frac{3}{26}, ka \frac{3}{26}.

$$\frac{1}{\frac{3}{26}+0.05}$$

Me tahuri ki tau ā-ira 0.05 ki te hautau \frac{5}{100}. Whakahekea te hautanga \frac{5}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{1}{\frac{3}{26}+\frac{1}{20}}$$

Ko te maha noa iti rawa atu o 26 me 20 ko 260. Me tahuri \frac{3}{26} me \frac{1}{20} ki te hautau me te tautūnga 260.

$$\frac{1}{\frac{30}{260}+\frac{13}{260}}$$

Tā te mea he rite te tauraro o \frac{30}{260} me \frac{13}{260}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{\frac{30+13}{260}}$$

Tāpirihia te 30 ki te 13, ka 43.

$$\frac{1}{\frac{43}{260}}$$

Whakawehe 1 ki te \frac{43}{260} mā te whakarea 1 ki te tau huripoki o \frac{43}{260}.

$$1\times \frac{260}{43}$$

Whakareatia te 1 ki te \frac{260}{43}, ka \frac{260}{43}.

$$\frac{260}{43}$$

Tauwehe

$$\frac{5 \cdot 13 \cdot 2 ^ {2}}{43} = 6\frac{2}{43} = 6.046511627906977$$