Whakaoti i te 12/9div{3-(5/36+11/9*0.6)div1.45}

$$1 \frac { 2 } { 9 } \div \{ 3 - ( \frac { 5 } { 36 } + 1 \frac { 1 } { 9 } \times 0.6 ) \div 1.45 \}$$

Aromātai

$$0.5$$

Ngā Upane Otinga

Whakareatia te 1 ki te 9, ka 9.

$$\frac{\frac{9+2}{9}}{3-\frac{\frac{5}{36}+\frac{1\times 9+1}{9}\times 0.6}{1.45}}$$

Tāpirihia te 9 ki te 2, ka 11.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+\frac{1\times 9+1}{9}\times 0.6}{1.45}}$$

Whakareatia te 1 ki te 9, ka 9.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+\frac{9+1}{9}\times 0.6}{1.45}}$$

Tāpirihia te 9 ki te 1, ka 10.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+\frac{10}{9}\times 0.6}{1.45}}$$

Me tahuri ki tau ā-ira 0.6 ki te hautau \frac{6}{10}. Whakahekea te hautanga \frac{6}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+\frac{10}{9}\times \frac{3}{5}}{1.45}}$$

Me whakarea te \frac{10}{9} ki te \frac{3}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+\frac{10\times 3}{9\times 5}}{1.45}}$$

Mahia ngā whakarea i roto i te hautanga \frac{10\times 3}{9\times 5}.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+\frac{30}{45}}{1.45}}$$

Whakahekea te hautanga \frac{30}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+\frac{2}{3}}{1.45}}$$

Ko te maha noa iti rawa atu o 36 me 3 ko 36. Me tahuri \frac{5}{36} me \frac{2}{3} ki te hautau me te tautūnga 36.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+\frac{24}{36}}{1.45}}$$

Tā te mea he rite te tauraro o \frac{5}{36} me \frac{24}{36}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5+24}{36}}{1.45}}$$

Tāpirihia te 5 ki te 24, ka 29.

$$\frac{\frac{11}{9}}{3-\frac{\frac{29}{36}}{1.45}}$$

Tuhia te \frac{\frac{29}{36}}{1.45} hei hautanga kotahi.

$$\frac{\frac{11}{9}}{3-\frac{29}{36\times 1.45}}$$

Whakareatia te 36 ki te 1.45, ka 52.2.

$$\frac{\frac{11}{9}}{3-\frac{29}{52.2}}$$

Whakarohaina te \frac{29}{52.2} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\frac{\frac{11}{9}}{3-\frac{290}{522}}$$

Whakahekea te hautanga \frac{290}{522} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 58.

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

Me tahuri te 3 ki te hautau \frac{27}{9}.

$$\frac{\frac{11}{9}}{\frac{27}{9}-\frac{5}{9}}$$

Tā te mea he rite te tauraro o \frac{27}{9} me \frac{5}{9}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{11}{9}}{\frac{27-5}{9}}$$

Tangohia te 5 i te 27, ka 22.

$$\frac{\frac{11}{9}}{\frac{22}{9}}$$

Whakawehe \frac{11}{9} ki te \frac{22}{9} mā te whakarea \frac{11}{9} ki te tau huripoki o \frac{22}{9}.

$$\frac{11}{9}\times \frac{9}{22}$$

Me whakarea te \frac{11}{9} ki te \frac{9}{22} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{11\times 9}{9\times 22}$$

Me whakakore tahi te 9 i te taurunga me te tauraro.

$$\frac{11}{22}$$

Whakahekea te hautanga \frac{11}{22} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 11.

$$\frac{1}{2}$$

Tauwehe

$$\frac{1}{2} = 0.5$$