Whakaoti i te 2-[-4/5-(4-7)+1/9-(10/9-6)]+2-1

$$2 - [ - \frac { 4 } { 5 } - ( 4 - 7 ) + \frac { 1 } { 9 } - ( \frac { 10 } { 9 } - 6 ) ] + 2 - 1$$

Aromātai

$$-\frac{21}{5}=-4.2$$

Ngā Upane Otinga

Tangohia te 7 i te 4, ka -3.

$$2-\left(-\frac{4}{5}-\left(-3\right)+\frac{1}{9}-\left(\frac{10}{9}-6\right)\right)+2-1$$

Ko te tauaro o -3 ko 3.

$$2-\left(-\frac{4}{5}+3+\frac{1}{9}-\left(\frac{10}{9}-6\right)\right)+2-1$$

Me tahuri te 3 ki te hautau \frac{15}{5}.

$$2-\left(-\frac{4}{5}+\frac{15}{5}+\frac{1}{9}-\left(\frac{10}{9}-6\right)\right)+2-1$$

Tā te mea he rite te tauraro o -\frac{4}{5} me \frac{15}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$2-\left(\frac{-4+15}{5}+\frac{1}{9}-\left(\frac{10}{9}-6\right)\right)+2-1$$

Tāpirihia te -4 ki te 15, ka 11.

$$2-\left(\frac{11}{5}+\frac{1}{9}-\left(\frac{10}{9}-6\right)\right)+2-1$$

Ko te maha noa iti rawa atu o 5 me 9 ko 45. Me tahuri \frac{11}{5} me \frac{1}{9} ki te hautau me te tautūnga 45.

$$2-\left(\frac{99}{45}+\frac{5}{45}-\left(\frac{10}{9}-6\right)\right)+2-1$$

Tā te mea he rite te tauraro o \frac{99}{45} me \frac{5}{45}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$2-\left(\frac{99+5}{45}-\left(\frac{10}{9}-6\right)\right)+2-1$$

Tāpirihia te 99 ki te 5, ka 104.

$$2-\left(\frac{104}{45}-\left(\frac{10}{9}-6\right)\right)+2-1$$

Me tahuri te 6 ki te hautau \frac{54}{9}.

$$2-\left(\frac{104}{45}-\left(\frac{10}{9}-\frac{54}{9}\right)\right)+2-1$$

Tā te mea he rite te tauraro o \frac{10}{9} me \frac{54}{9}, me tango rāua mā te tango i ō raua taurunga.

$$2-\left(\frac{104}{45}-\frac{10-54}{9}\right)+2-1$$

Tangohia te 54 i te 10, ka -44.

$$2-\left(\frac{104}{45}-\left(-\frac{44}{9}\right)\right)+2-1$$

Ko te tauaro o -\frac{44}{9} ko \frac{44}{9}.

$$2-\left(\frac{104}{45}+\frac{44}{9}\right)+2-1$$

Ko te maha noa iti rawa atu o 45 me 9 ko 45. Me tahuri \frac{104}{45} me \frac{44}{9} ki te hautau me te tautūnga 45.

$$2-\left(\frac{104}{45}+\frac{220}{45}\right)+2-1$$

Tā te mea he rite te tauraro o \frac{104}{45} me \frac{220}{45}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$2-\frac{104+220}{45}+2-1$$

Tāpirihia te 104 ki te 220, ka 324.

$$2-\frac{324}{45}+2-1$$

Whakahekea te hautanga \frac{324}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$2-\frac{36}{5}+2-1$$

Me tahuri te 2 ki te hautau \frac{10}{5}.

$$\frac{10}{5}-\frac{36}{5}+2-1$$

Tā te mea he rite te tauraro o \frac{10}{5} me \frac{36}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{10-36}{5}+2-1$$

Tangohia te 36 i te 10, ka -26.

$$-\frac{26}{5}+2-1$$

Me tahuri te 2 ki te hautau \frac{10}{5}.

$$-\frac{26}{5}+\frac{10}{5}-1$$

Tā te mea he rite te tauraro o -\frac{26}{5} me \frac{10}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-26+10}{5}-1$$

Tāpirihia te -26 ki te 10, ka -16.

$$-\frac{16}{5}-1$$

Me tahuri te 1 ki te hautau \frac{5}{5}.

$$-\frac{16}{5}-\frac{5}{5}$$

Tā te mea he rite te tauraro o -\frac{16}{5} me \frac{5}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-16-5}{5}$$

Tangohia te 5 i te -16, ka -21.

$$-\frac{21}{5}$$

Tauwehe

$$-\frac{21}{5} = -4\frac{1}{5} = -4.2$$