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.

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

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

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

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

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

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

$$-\frac{7}{5}-35=60-14-4\left(2-\frac{17}{10}\right)$$

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

$$-\frac{7}{5}-\frac{175}{5}=60-14-4\left(2-\frac{17}{10}\right)$$

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.

$$\frac{-7-175}{5}=60-14-4\left(2-\frac{17}{10}\right)$$

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

$$-\frac{182}{5}=60-14-4\left(2-\frac{17}{10}\right)$$

Tangohia te 14 i te 60, ka 46.

$$-\frac{182}{5}=46-4\left(2-\frac{17}{10}\right)$$

Me tahuri te 2 ki te hautau \frac{20}{10}.

$$-\frac{182}{5}=46-4\left(\frac{20}{10}-\frac{17}{10}\right)$$

Tā te mea he rite te tauraro o \frac{20}{10} me \frac{17}{10}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{182}{5}=46-4\times \frac{20-17}{10}$$

Tangohia te 17 i te 20, ka 3.

$$-\frac{182}{5}=46-4\times \frac{3}{10}$$

Tuhia te -4\times \frac{3}{10} hei hautanga kotahi.

$$-\frac{182}{5}=46+\frac{-4\times 3}{10}$$

Whakareatia te -4 ki te 3, ka -12.

$$-\frac{182}{5}=46+\frac{-12}{10}$$

Whakahekea te hautanga \frac{-12}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{182}{5}=46-\frac{6}{5}$$

Me tahuri te 46 ki te hautau \frac{230}{5}.

$$-\frac{182}{5}=\frac{230}{5}-\frac{6}{5}$$

Tā te mea he rite te tauraro o \frac{230}{5} me \frac{6}{5}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{182}{5}=\frac{230-6}{5}$$

Tangohia te 6 i te 230, ka 224.

$$-\frac{182}{5}=\frac{224}{5}$$

Whakatauritea te -\frac{182}{5} me te \frac{224}{5}.

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