Whakaoti i te 12/9div{3-(5/36+11/9*06)div145}

$$1 \frac { 2 } { 9 } \div \{ 3 - ( \frac { 5 } { 36 } + 1 \frac { 1 } { 9 } \times 06 ) \div 145 \}$$

Aromātai

$$\frac{1276}{3131}\approx 0.407537528$$

Ngā Upane Otinga

Whakareatia te 1 ki te 9, ka 9.

$$\frac{\frac{9+2}{9}}{3-\frac{\frac{5}{36}+\frac{1\times 9+1}{9}\times 0\times 6}{145}}$$

Tāpirihia te 9 ki te 2, ka 11.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+\frac{1\times 9+1}{9}\times 0\times 6}{145}}$$

Whakareatia te 1 ki te 9, ka 9.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+\frac{9+1}{9}\times 0\times 6}{145}}$$

Tāpirihia te 9 ki te 1, ka 10.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+\frac{10}{9}\times 0\times 6}{145}}$$

Whakareatia te \frac{10}{9} ki te 0, ka 0.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+0\times 6}{145}}$$

Whakareatia te 0 ki te 6, ka 0.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+0}{145}}$$

Tāpirihia te \frac{5}{36} ki te 0, ka \frac{5}{36}.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}}{145}}$$

Tuhia te \frac{\frac{5}{36}}{145} hei hautanga kotahi.

$$\frac{\frac{11}{9}}{3-\frac{5}{36\times 145}}$$

Whakareatia te 36 ki te 145, ka 5220.

$$\frac{\frac{11}{9}}{3-\frac{5}{5220}}$$

Whakahekea te hautanga \frac{5}{5220} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{\frac{11}{9}}{3-\frac{1}{1044}}$$

Me tahuri te 3 ki te hautau \frac{3132}{1044}.

$$\frac{\frac{11}{9}}{\frac{3132}{1044}-\frac{1}{1044}}$$

Tā te mea he rite te tauraro o \frac{3132}{1044} me \frac{1}{1044}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{11}{9}}{\frac{3132-1}{1044}}$$

Tangohia te 1 i te 3132, ka 3131.

$$\frac{\frac{11}{9}}{\frac{3131}{1044}}$$

Whakawehe \frac{11}{9} ki te \frac{3131}{1044} mā te whakarea \frac{11}{9} ki te tau huripoki o \frac{3131}{1044}.

$$\frac{11}{9}\times \frac{1044}{3131}$$

Me whakarea te \frac{11}{9} ki te \frac{1044}{3131} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{11\times 1044}{9\times 3131}$$

Mahia ngā whakarea i roto i te hautanga \frac{11\times 1044}{9\times 3131}.

$$\frac{11484}{28179}$$

Whakahekea te hautanga \frac{11484}{28179} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$\frac{1276}{3131}$$

Tauwehe

$$\frac{2 ^ {2} \cdot 11 \cdot 29}{31 \cdot 101} = 0.407537527946343$$