Whakaoti i te 2125-frac{4/21/frac{2{35}}-31/93/7}{4frac{4}{9}*0.4}

$$2125- \frac{ \frac{ \frac{ 4 }{ 21 } }{ \frac{ 2 }{ 35 } } -3 \frac{ 1 }{ 9 } \frac{ 3 }{ 7 } }{ 4 \frac{ 4 }{ 9 } \times 0.4 }$$

Aromātai

$$2123.875$$

Ngā Upane Otinga

Whakawehe \frac{4}{21} ki te \frac{2}{35} mā te whakarea \frac{4}{21} ki te tau huripoki o \frac{2}{35}.

$$2125-\frac{\frac{4}{21}\times \frac{35}{2}-\frac{3\times 9+1}{9}\times \frac{3}{7}}{\frac{4\times 9+4}{9}\times 0.4}$$

Me whakarea te \frac{4}{21} ki te \frac{35}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$2125-\frac{\frac{4\times 35}{21\times 2}-\frac{3\times 9+1}{9}\times \frac{3}{7}}{\frac{4\times 9+4}{9}\times 0.4}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 35}{21\times 2}.

$$2125-\frac{\frac{140}{42}-\frac{3\times 9+1}{9}\times \frac{3}{7}}{\frac{4\times 9+4}{9}\times 0.4}$$

Whakahekea te hautanga \frac{140}{42} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 14.

$$2125-\frac{\frac{10}{3}-\frac{3\times 9+1}{9}\times \frac{3}{7}}{\frac{4\times 9+4}{9}\times 0.4}$$

Whakareatia te 3 ki te 9, ka 27.

$$2125-\frac{\frac{10}{3}-\frac{27+1}{9}\times \frac{3}{7}}{\frac{4\times 9+4}{9}\times 0.4}$$

Tāpirihia te 27 ki te 1, ka 28.

$$2125-\frac{\frac{10}{3}-\frac{28}{9}\times \frac{3}{7}}{\frac{4\times 9+4}{9}\times 0.4}$$

Me whakarea te \frac{28}{9} ki te \frac{3}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$2125-\frac{\frac{10}{3}-\frac{28\times 3}{9\times 7}}{\frac{4\times 9+4}{9}\times 0.4}$$

Mahia ngā whakarea i roto i te hautanga \frac{28\times 3}{9\times 7}.

$$2125-\frac{\frac{10}{3}-\frac{84}{63}}{\frac{4\times 9+4}{9}\times 0.4}$$

Whakahekea te hautanga \frac{84}{63} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 21.

$$2125-\frac{\frac{10}{3}-\frac{4}{3}}{\frac{4\times 9+4}{9}\times 0.4}$$

Tā te mea he rite te tauraro o \frac{10}{3} me \frac{4}{3}, me tango rāua mā te tango i ō raua taurunga.

$$2125-\frac{\frac{10-4}{3}}{\frac{4\times 9+4}{9}\times 0.4}$$

Tangohia te 4 i te 10, ka 6.

$$2125-\frac{\frac{6}{3}}{\frac{4\times 9+4}{9}\times 0.4}$$

Whakawehea te 6 ki te 3, kia riro ko 2.

$$2125-\frac{2}{\frac{4\times 9+4}{9}\times 0.4}$$

Whakareatia te 4 ki te 9, ka 36.

$$2125-\frac{2}{\frac{36+4}{9}\times 0.4}$$

Tāpirihia te 36 ki te 4, ka 40.

$$2125-\frac{2}{\frac{40}{9}\times 0.4}$$

Me tahuri ki tau ā-ira 0.4 ki te hautau \frac{4}{10}. Whakahekea te hautanga \frac{4}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$2125-\frac{2}{\frac{40}{9}\times \frac{2}{5}}$$

Me whakarea te \frac{40}{9} ki te \frac{2}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$2125-\frac{2}{\frac{40\times 2}{9\times 5}}$$

Mahia ngā whakarea i roto i te hautanga \frac{40\times 2}{9\times 5}.

$$2125-\frac{2}{\frac{80}{45}}$$

Whakahekea te hautanga \frac{80}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$2125-\frac{2}{\frac{16}{9}}$$

Whakawehe 2 ki te \frac{16}{9} mā te whakarea 2 ki te tau huripoki o \frac{16}{9}.

$$2125-2\times \frac{9}{16}$$

Tuhia te 2\times \frac{9}{16} hei hautanga kotahi.

$$2125-\frac{2\times 9}{16}$$

Whakareatia te 2 ki te 9, ka 18.

$$2125-\frac{18}{16}$$

Whakahekea te hautanga \frac{18}{16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$2125-\frac{9}{8}$$

Me tahuri te 2125 ki te hautau \frac{17000}{8}.

$$\frac{17000}{8}-\frac{9}{8}$$

Tā te mea he rite te tauraro o \frac{17000}{8} me \frac{9}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{17000-9}{8}$$

Tangohia te 9 i te 17000, ka 16991.

$$\frac{16991}{8}$$

Tauwehe

$$\frac{13 \cdot 1307}{2 ^ {3}} = 2123\frac{7}{8} = 2123.875$$