Whakaoti i te 8/5/frac{2{25}-5/16}16div-3=

$$\frac{ \frac{ 8 }{ 5 } }{ \frac{ 2 }{ 25 } - \frac{ 5 }{ 16 } } 16 \div -3=$$

Aromātai

$$\frac{10240}{279}\approx 36.702508961$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 25 me 16 ko 400. Me tahuri \frac{2}{25} me \frac{5}{16} ki te hautau me te tautūnga 400.

$$\frac{\frac{\frac{8}{5}}{\frac{32}{400}-\frac{125}{400}}\times 16}{-3}$$

Tā te mea he rite te tauraro o \frac{32}{400} me \frac{125}{400}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{\frac{8}{5}}{\frac{32-125}{400}}\times 16}{-3}$$

Tangohia te 125 i te 32, ka -93.

$$\frac{\frac{\frac{8}{5}}{-\frac{93}{400}}\times 16}{-3}$$

Whakawehe \frac{8}{5} ki te -\frac{93}{400} mā te whakarea \frac{8}{5} ki te tau huripoki o -\frac{93}{400}.

$$\frac{\frac{8}{5}\left(-\frac{400}{93}\right)\times 16}{-3}$$

Me whakarea te \frac{8}{5} ki te -\frac{400}{93} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{8\left(-400\right)}{5\times 93}\times 16}{-3}$$

Mahia ngā whakarea i roto i te hautanga \frac{8\left(-400\right)}{5\times 93}.

$$\frac{\frac{-3200}{465}\times 16}{-3}$$

Whakahekea te hautanga \frac{-3200}{465} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{-\frac{640}{93}\times 16}{-3}$$

Tuhia te -\frac{640}{93}\times 16 hei hautanga kotahi.

$$\frac{\frac{-640\times 16}{93}}{-3}$$

Whakareatia te -640 ki te 16, ka -10240.

$$\frac{\frac{-10240}{93}}{-3}$$

Ka taea te hautanga \frac{-10240}{93} te tuhi anō ko -\frac{10240}{93} mā te tango i te tohu tōraro.

$$\frac{-\frac{10240}{93}}{-3}$$

Tuhia te \frac{-\frac{10240}{93}}{-3} hei hautanga kotahi.

$$\frac{-10240}{93\left(-3\right)}$$

Whakareatia te 93 ki te -3, ka -279.

$$\frac{-10240}{-279}$$

Ka taea te hautanga \frac{-10240}{-279} te whakamāmā ki te \frac{10240}{279} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$\frac{10240}{279}$$

Tauwehe

$$\frac{2 ^ {11} \cdot 5}{3 ^ {2} \cdot 31} = 36\frac{196}{279} = 36.702508960573475$$