Whakaoti i te 1/frac{144{11}+4+12+15+5}144/11

$$\frac{ 1 }{ \frac{ 144 }{ 11 } +4+12+15+5 } \frac{ 144 }{ 11 }$$

Aromātai

$$\frac{4}{15}\approx 0.266666667$$

Ngā Upane Otinga

Me tahuri te 4 ki te hautau \frac{44}{11}.

$$\frac{1}{\frac{144}{11}+\frac{44}{11}+12+15+5}\times \frac{144}{11}$$

Tā te mea he rite te tauraro o \frac{144}{11} me \frac{44}{11}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{\frac{144+44}{11}+12+15+5}\times \frac{144}{11}$$

Tāpirihia te 144 ki te 44, ka 188.

$$\frac{1}{\frac{188}{11}+12+15+5}\times \frac{144}{11}$$

Me tahuri te 12 ki te hautau \frac{132}{11}.

$$\frac{1}{\frac{188}{11}+\frac{132}{11}+15+5}\times \frac{144}{11}$$

Tā te mea he rite te tauraro o \frac{188}{11} me \frac{132}{11}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{\frac{188+132}{11}+15+5}\times \frac{144}{11}$$

Tāpirihia te 188 ki te 132, ka 320.

$$\frac{1}{\frac{320}{11}+15+5}\times \frac{144}{11}$$

Me tahuri te 15 ki te hautau \frac{165}{11}.

$$\frac{1}{\frac{320}{11}+\frac{165}{11}+5}\times \frac{144}{11}$$

Tā te mea he rite te tauraro o \frac{320}{11} me \frac{165}{11}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{\frac{320+165}{11}+5}\times \frac{144}{11}$$

Tāpirihia te 320 ki te 165, ka 485.

$$\frac{1}{\frac{485}{11}+5}\times \frac{144}{11}$$

Me tahuri te 5 ki te hautau \frac{55}{11}.

$$\frac{1}{\frac{485}{11}+\frac{55}{11}}\times \frac{144}{11}$$

Tā te mea he rite te tauraro o \frac{485}{11} me \frac{55}{11}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{\frac{485+55}{11}}\times \frac{144}{11}$$

Tāpirihia te 485 ki te 55, ka 540.

$$\frac{1}{\frac{540}{11}}\times \frac{144}{11}$$

Whakawehe 1 ki te \frac{540}{11} mā te whakarea 1 ki te tau huripoki o \frac{540}{11}.

$$1\times \frac{11}{540}\times \frac{144}{11}$$

Whakareatia te 1 ki te \frac{11}{540}, ka \frac{11}{540}.

$$\frac{11}{540}\times \frac{144}{11}$$

Me whakarea te \frac{11}{540} ki te \frac{144}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{11\times 144}{540\times 11}$$

Me whakakore tahi te 11 i te taurunga me te tauraro.

$$\frac{144}{540}$$

Whakahekea te hautanga \frac{144}{540} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 36.

$$\frac{4}{15}$$

Tauwehe

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$