Whakaoti i te 2:(-1/3)+5:(-0.2)+1/-2frac{1{7}:(-15)+96/7}+5=-3

$$\frac { 2 : ( - \frac { 1 } { 3 } ) + 5 : ( - 0.2 ) + 1 } { - 2 \frac { 1 } { 7 } : ( - 15 ) + 9 \frac { 6 } { 7 } } + 5 = - 3$$

Manatoko

Ngā Upane Otinga

Whakawehe 2 ki te -\frac{1}{3} mā te whakarea 2 ki te tau huripoki o -\frac{1}{3}.

$$\frac{2\left(-3\right)+\frac{5}{-0.2}+1}{\frac{-\frac{2\times 7+1}{7}}{-15}+\frac{9\times 7+6}{7}}+5=-3$$

Whakareatia te 2 ki te -3, ka -6.

$$\frac{-6+\frac{5}{-0.2}+1}{\frac{-\frac{2\times 7+1}{7}}{-15}+\frac{9\times 7+6}{7}}+5=-3$$

Whakarohaina te \frac{5}{-0.2} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\frac{-6+\frac{50}{-2}+1}{\frac{-\frac{2\times 7+1}{7}}{-15}+\frac{9\times 7+6}{7}}+5=-3$$

Whakawehea te 50 ki te -2, kia riro ko -25.

$$\frac{-6-25+1}{\frac{-\frac{2\times 7+1}{7}}{-15}+\frac{9\times 7+6}{7}}+5=-3$$

Tangohia te 25 i te -6, ka -31.

$$\frac{-31+1}{\frac{-\frac{2\times 7+1}{7}}{-15}+\frac{9\times 7+6}{7}}+5=-3$$

Tāpirihia te -31 ki te 1, ka -30.

$$\frac{-30}{\frac{-\frac{2\times 7+1}{7}}{-15}+\frac{9\times 7+6}{7}}+5=-3$$

Whakareatia te 2 ki te 7, ka 14.

$$\frac{-30}{\frac{-\frac{14+1}{7}}{-15}+\frac{9\times 7+6}{7}}+5=-3$$

Tāpirihia te 14 ki te 1, ka 15.

$$\frac{-30}{\frac{-\frac{15}{7}}{-15}+\frac{9\times 7+6}{7}}+5=-3$$

Tuhia te \frac{-\frac{15}{7}}{-15} hei hautanga kotahi.

$$\frac{-30}{\frac{-15}{7\left(-15\right)}+\frac{9\times 7+6}{7}}+5=-3$$

Me whakakore tahi te -15 i te taurunga me te tauraro.

$$\frac{-30}{\frac{1}{7}+\frac{9\times 7+6}{7}}+5=-3$$

Whakareatia te 9 ki te 7, ka 63.

$$\frac{-30}{\frac{1}{7}+\frac{63+6}{7}}+5=-3$$

Tāpirihia te 63 ki te 6, ka 69.

$$\frac{-30}{\frac{1}{7}+\frac{69}{7}}+5=-3$$

Tā te mea he rite te tauraro o \frac{1}{7} me \frac{69}{7}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-30}{\frac{1+69}{7}}+5=-3$$

Tāpirihia te 1 ki te 69, ka 70.

$$\frac{-30}{\frac{70}{7}}+5=-3$$

Whakawehea te 70 ki te 7, kia riro ko 10.

$$\frac{-30}{10}+5=-3$$

Whakawehea te -30 ki te 10, kia riro ko -3.

$$-3+5=-3$$

Tāpirihia te -3 ki te 5, ka 2.

$$2=-3$$

Whakatauritea te 2 me te -3.

$$\text{false}$$