Whakaoti i te (-7/10)/10-7/4=3(-7/10)-frac{2(frac{-17}{10})}{5}

$$\frac { ( - \frac { 7 } { 10 } ) } { 10 } - \frac { 7 } { 4 } = 3 ( - \frac { 7 } { 10 } ) - \frac { 2 ( \frac { - 17 } { 10 } ) } { 5 }$$

Manatoko

Ngā Upane Otinga

Me whakarea ngā taha e rua o te whārite ki te 20, arā, te tauraro pātahi he tino iti rawa te kitea o 10,4,5.

$$2\left(-\frac{7}{10}\right)-35=60\left(-\frac{7}{10}\right)-4\times 2\times \frac{-17}{10}$$

Tuhia te 2\left(-\frac{7}{10}\right) hei hautanga kotahi.

$$\frac{2\left(-7\right)}{10}-35=60\left(-\frac{7}{10}\right)-4\times 2\times \frac{-17}{10}$$

Whakareatia te 2 ki te -7, ka -14.

$$\frac{-14}{10}-35=60\left(-\frac{7}{10}\right)-4\times 2\times \frac{-17}{10}$$

Whakahekea te hautanga \frac{-14}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{7}{5}-35=60\left(-\frac{7}{10}\right)-4\times 2\times \frac{-17}{10}$$

Me tahuri te 35 ki te hautau \frac{175}{5}.

$$-\frac{7}{5}-\frac{175}{5}=60\left(-\frac{7}{10}\right)-4\times 2\times \frac{-17}{10}$$

Tā te mea he rite te tauraro o -\frac{7}{5} me \frac{175}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-7-175}{5}=60\left(-\frac{7}{10}\right)-4\times 2\times \frac{-17}{10}$$

Tangohia te 175 i te -7, ka -182.

$$-\frac{182}{5}=60\left(-\frac{7}{10}\right)-4\times 2\times \frac{-17}{10}$$

Tuhia te 60\left(-\frac{7}{10}\right) hei hautanga kotahi.

$$-\frac{182}{5}=\frac{60\left(-7\right)}{10}-4\times 2\times \frac{-17}{10}$$

Whakareatia te 60 ki te -7, ka -420.

$$-\frac{182}{5}=\frac{-420}{10}-4\times 2\times \frac{-17}{10}$$

Whakawehea te -420 ki te 10, kia riro ko -42.

$$-\frac{182}{5}=-42-4\times 2\times \frac{-17}{10}$$

Whakareatia te -4 ki te 2, ka -8.

$$-\frac{182}{5}=-42-8\times \frac{-17}{10}$$

Ka taea te hautanga \frac{-17}{10} te tuhi anō ko -\frac{17}{10} mā te tango i te tohu tōraro.

$$-\frac{182}{5}=-42-8\left(-\frac{17}{10}\right)$$

Tuhia te -8\left(-\frac{17}{10}\right) hei hautanga kotahi.

$$-\frac{182}{5}=-42+\frac{-8\left(-17\right)}{10}$$

Whakareatia te -8 ki te -17, ka 136.

$$-\frac{182}{5}=-42+\frac{136}{10}$$

Whakahekea te hautanga \frac{136}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{182}{5}=-42+\frac{68}{5}$$

Me tahuri te -42 ki te hautau -\frac{210}{5}.

$$-\frac{182}{5}=-\frac{210}{5}+\frac{68}{5}$$

Tā te mea he rite te tauraro o -\frac{210}{5} me \frac{68}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{182}{5}=\frac{-210+68}{5}$$

Tāpirihia te -210 ki te 68, ka -142.

$$-\frac{182}{5}=-\frac{142}{5}$$

Whakatauritea te -\frac{182}{5} me te -\frac{142}{5}.

$$\text{false}$$