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

$$\frac{ \frac{ 8 }{ 5 } }{ \frac{ 2 }{ 25 } - \frac{ 5 }{ 16 } } 25$$

Aromātai

$$-\frac{16000}{93}\approx -172.043010753$$

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.

$$\frac{\frac{8}{5}}{\frac{32}{400}-\frac{125}{400}}\times 25$$

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.

$$\frac{\frac{8}{5}}{\frac{32-125}{400}}\times 25$$

Tangohia te 125 i te 32, ka -93.

$$\frac{\frac{8}{5}}{-\frac{93}{400}}\times 25$$

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

$$\frac{8}{5}\left(-\frac{400}{93}\right)\times 25$$

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

$$\frac{8\left(-400\right)}{5\times 93}\times 25$$

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

$$\frac{-3200}{465}\times 25$$

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

$$-\frac{640}{93}\times 25$$

Tuhia te -\frac{640}{93}\times 25 hei hautanga kotahi.

$$\frac{-640\times 25}{93}$$

Whakareatia te -640 ki te 25, ka -16000.

$$\frac{-16000}{93}$$

Ka taea te hautanga \frac{-16000}{93} te tuhi anō ko -\frac{16000}{93} mā te tango i te tohu tōraro.

$$-\frac{16000}{93}$$

Tauwehe

$$-\frac{16000}{93} = -172\frac{4}{93} = -172.04301075268816$$