Whakaoti i te (-1)^3*12/7*5/7div(-3/4)*(-2.5)*2/5div(-0.45)*2frac{1}{3}div(-frac{5}{7})

$$( - 1 ) ^ { 3 } \times 1 \frac { 2 } { 7 } \times \frac { 5 } { 7 } \div ( - \frac { 3 } { 4 } ) \times ( - 2.5 ) \times \frac { 2 } { 5 } \div ( - 0.45 ) \times 2 \frac { 1 } { 3 } \div ( - \frac { 5 } { 7 } )$$

Aromātai

$$-\frac{80}{9}\approx -8.888888889$$

Ngā Upane Otinga

Tātaihia te -1 mā te pū o 3, kia riro ko -1.

$$\frac{\frac{\frac{-\frac{7+2}{7}\times \frac{5}{7}}{-\frac{3}{4}}\left(-2.5\right)\times \frac{2}{5}}{-0.45}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Tāpirihia te 7 ki te 2, ka 9.

$$\frac{\frac{\frac{-\frac{9}{7}\times \frac{5}{7}}{-\frac{3}{4}}\left(-2.5\right)\times \frac{2}{5}}{-0.45}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Me whakarea te -\frac{9}{7} ki te \frac{5}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{\frac{\frac{-9\times 5}{7\times 7}}{-\frac{3}{4}}\left(-2.5\right)\times \frac{2}{5}}{-0.45}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Mahia ngā whakarea i roto i te hautanga \frac{-9\times 5}{7\times 7}.

$$\frac{\frac{\frac{\frac{-45}{49}}{-\frac{3}{4}}\left(-2.5\right)\times \frac{2}{5}}{-0.45}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Ka taea te hautanga \frac{-45}{49} te tuhi anō ko -\frac{45}{49} mā te tango i te tohu tōraro.

$$\frac{\frac{\frac{-\frac{45}{49}}{-\frac{3}{4}}\left(-2.5\right)\times \frac{2}{5}}{-0.45}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Whakawehe -\frac{45}{49} ki te -\frac{3}{4} mā te whakarea -\frac{45}{49} ki te tau huripoki o -\frac{3}{4}.

$$\frac{\frac{-\frac{45}{49}\left(-\frac{4}{3}\right)\left(-2.5\right)\times \frac{2}{5}}{-0.45}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Me whakarea te -\frac{45}{49} ki te -\frac{4}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{\frac{-45\left(-4\right)}{49\times 3}\left(-2.5\right)\times \frac{2}{5}}{-0.45}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Mahia ngā whakarea i roto i te hautanga \frac{-45\left(-4\right)}{49\times 3}.

$$\frac{\frac{\frac{180}{147}\left(-2.5\right)\times \frac{2}{5}}{-0.45}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Whakahekea te hautanga \frac{180}{147} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{\frac{\frac{60}{49}\left(-2.5\right)\times \frac{2}{5}}{-0.45}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Me tahuri ki tau ā-ira -2.5 ki te hautau -\frac{25}{10}. Whakahekea te hautanga -\frac{25}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{\frac{\frac{60}{49}\left(-\frac{5}{2}\right)\times \frac{2}{5}}{-0.45}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Me whakarea te \frac{60}{49} ki te -\frac{5}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{\frac{60\left(-5\right)}{49\times 2}\times \frac{2}{5}}{-0.45}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Mahia ngā whakarea i roto i te hautanga \frac{60\left(-5\right)}{49\times 2}.

$$\frac{\frac{\frac{-300}{98}\times \frac{2}{5}}{-0.45}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Whakahekea te hautanga \frac{-300}{98} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{-\frac{150}{49}\times \frac{2}{5}}{-0.45}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Me whakarea te -\frac{150}{49} ki te \frac{2}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{\frac{-150\times 2}{49\times 5}}{-0.45}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Mahia ngā whakarea i roto i te hautanga \frac{-150\times 2}{49\times 5}.

$$\frac{\frac{\frac{-300}{245}}{-0.45}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Whakahekea te hautanga \frac{-300}{245} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{\frac{-\frac{60}{49}}{-0.45}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Tuhia te \frac{-\frac{60}{49}}{-0.45} hei hautanga kotahi.

$$\frac{\frac{-60}{49\left(-0.45\right)}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Whakareatia te 49 ki te -0.45, ka -22.05.

$$\frac{\frac{-60}{-22.05}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Whakarohaina te \frac{-60}{-22.05} mā te whakarea i te taurunga me te tauraro ki te 100.

$$\frac{\frac{-6000}{-2205}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Whakahekea te hautanga \frac{-6000}{-2205} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -15.

$$\frac{\frac{400}{147}\times \frac{2\times 3+1}{3}}{-\frac{5}{7}}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{\frac{400}{147}\times \frac{6+1}{3}}{-\frac{5}{7}}$$

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{\frac{400}{147}\times \frac{7}{3}}{-\frac{5}{7}}$$

Me whakarea te \frac{400}{147} ki te \frac{7}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{400\times 7}{147\times 3}}{-\frac{5}{7}}$$

Mahia ngā whakarea i roto i te hautanga \frac{400\times 7}{147\times 3}.

$$\frac{\frac{2800}{441}}{-\frac{5}{7}}$$

Whakahekea te hautanga \frac{2800}{441} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{\frac{400}{63}}{-\frac{5}{7}}$$

Whakawehe \frac{400}{63} ki te -\frac{5}{7} mā te whakarea \frac{400}{63} ki te tau huripoki o -\frac{5}{7}.

$$\frac{400}{63}\left(-\frac{7}{5}\right)$$

Me whakarea te \frac{400}{63} ki te -\frac{7}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{400\left(-7\right)}{63\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{400\left(-7\right)}{63\times 5}.

$$\frac{-2800}{315}$$

Whakahekea te hautanga \frac{-2800}{315} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 35.

$$-\frac{80}{9}$$

Tauwehe

$$-\frac{80}{9} = -8\frac{8}{9} = -8.88888888888889$$