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

$$\frac{71}{45}\approx 1.577777778$$

Ngā Upane Otinga

Tangohia te 7 i te 4, ka -3.

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

Ko te tauaro o -3 ko 3.

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

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

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

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.

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

Tāpirihia te -4 ki te 15, ka 11.

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

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.

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

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.

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

Tāpirihia te 99 ki te 5, ka 104.

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

Ko te maha noa iti rawa atu o 45 me 9 ko 45. Me tahuri \frac{104}{45} me \frac{10}{9} ki te hautau me te tautūnga 45.

$$-2-\left(\frac{104}{45}+\frac{50}{45}-6\right)+2-1$$

Tā te mea he rite te tauraro o \frac{104}{45} me \frac{50}{45}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-2-\left(\frac{104+50}{45}-6\right)+2-1$$

Tāpirihia te 104 ki te 50, ka 154.

$$-2-\left(\frac{154}{45}-6\right)+2-1$$

Me tahuri te 6 ki te hautau \frac{270}{45}.

$$-2-\left(\frac{154}{45}-\frac{270}{45}\right)+2-1$$

Tā te mea he rite te tauraro o \frac{154}{45} me \frac{270}{45}, me tango rāua mā te tango i ō raua taurunga.

$$-2-\frac{154-270}{45}+2-1$$

Tangohia te 270 i te 154, ka -116.

$$-2-\left(-\frac{116}{45}\right)+2-1$$

Ko te tauaro o -\frac{116}{45} ko \frac{116}{45}.

$$-2+\frac{116}{45}+2-1$$

Me tahuri te -2 ki te hautau -\frac{90}{45}.

$$-\frac{90}{45}+\frac{116}{45}+2-1$$

Tā te mea he rite te tauraro o -\frac{90}{45} me \frac{116}{45}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-90+116}{45}+2-1$$

Tāpirihia te -90 ki te 116, ka 26.

$$\frac{26}{45}+2-1$$

Me tahuri te 2 ki te hautau \frac{90}{45}.

$$\frac{26}{45}+\frac{90}{45}-1$$

Tā te mea he rite te tauraro o \frac{26}{45} me \frac{90}{45}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{26+90}{45}-1$$

Tāpirihia te 26 ki te 90, ka 116.

$$\frac{116}{45}-1$$

Me tahuri te 1 ki te hautau \frac{45}{45}.

$$\frac{116}{45}-\frac{45}{45}$$

Tā te mea he rite te tauraro o \frac{116}{45} me \frac{45}{45}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{116-45}{45}$$

Tangohia te 45 i te 116, ka 71.

$$\frac{71}{45}$$

Tauwehe

$$\frac{71}{3 ^ {2} \cdot 5} = 1\frac{26}{45} = 1.5777777777777777$$