Whakaoti i te (27)5/3div(125)-4/3*(9)-3/2

$$(27) \frac{ 5 }{ 3 } \div (125) \frac{ -4 }{ 3 } \times (9) \frac{ -3 }{ 2 }$$

Aromātai

$$\frac{162}{25}=6.48$$

Ngā Upane Otinga

Tuhia te 27\times \frac{5}{3} hei hautanga kotahi.

$$\frac{\frac{27\times 5}{3}}{125}\times \frac{-4}{3}\times 9\times \frac{-3}{2}$$

Whakareatia te 27 ki te 5, ka 135.

$$\frac{\frac{135}{3}}{125}\times \frac{-4}{3}\times 9\times \frac{-3}{2}$$

Whakawehea te 135 ki te 3, kia riro ko 45.

$$\frac{45}{125}\times \frac{-4}{3}\times 9\times \frac{-3}{2}$$

Whakahekea te hautanga \frac{45}{125} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{9}{25}\times \frac{-4}{3}\times 9\times \frac{-3}{2}$$

Ka taea te hautanga \frac{-4}{3} te tuhi anō ko -\frac{4}{3} mā te tango i te tohu tōraro.

$$\frac{9}{25}\left(-\frac{4}{3}\right)\times 9\times \frac{-3}{2}$$

Me whakarea te \frac{9}{25} ki te -\frac{4}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{9\left(-4\right)}{25\times 3}\times 9\times \frac{-3}{2}$$

Mahia ngā whakarea i roto i te hautanga \frac{9\left(-4\right)}{25\times 3}.

$$\frac{-36}{75}\times 9\times \frac{-3}{2}$$

Whakahekea te hautanga \frac{-36}{75} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$-\frac{12}{25}\times 9\times \frac{-3}{2}$$

Tuhia te -\frac{12}{25}\times 9 hei hautanga kotahi.

$$\frac{-12\times 9}{25}\times \frac{-3}{2}$$

Whakareatia te -12 ki te 9, ka -108.

$$\frac{-108}{25}\times \frac{-3}{2}$$

Ka taea te hautanga \frac{-108}{25} te tuhi anō ko -\frac{108}{25} mā te tango i te tohu tōraro.

$$-\frac{108}{25}\times \frac{-3}{2}$$

Ka taea te hautanga \frac{-3}{2} te tuhi anō ko -\frac{3}{2} mā te tango i te tohu tōraro.

$$-\frac{108}{25}\left(-\frac{3}{2}\right)$$

Me whakarea te -\frac{108}{25} ki te -\frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-108\left(-3\right)}{25\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{-108\left(-3\right)}{25\times 2}.

$$\frac{324}{50}$$

Whakahekea te hautanga \frac{324}{50} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{162}{25}$$

Tauwehe

$$\frac{2 \cdot 3 ^ {4}}{5 ^ {2}} = 6\frac{12}{25} = 6.48$$