Whakaoti i te -3/4*221/25div33/5div(-11/2)*1frac{21}{50}*(-18)-(-2)^2*25*(-4frac{1}{20})

$$- \frac { 3 } { 4 } \times 2 \frac { 21 } { 25 } \div 3 \frac { 3 } { 5 } \div ( - 1 \frac { 1 } { 2 } ) \times 1 \frac { 21 } { 50 } \times ( - 18 ) - ( - 2 ) ^ { 2 } \times 25 \times ( - 4 \frac { 1 } { 20 } )$$

Aromātai

$$\frac{197459}{500}=394.918$$

Ngā Upane Otinga

Whakareatia te 2 ki te 25, ka 50.

$$\frac{\frac{-\frac{3}{4}\times \frac{50+21}{25}}{\frac{3\times 5+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Tāpirihia te 50 ki te 21, ka 71.

$$\frac{\frac{-\frac{3}{4}\times \frac{71}{25}}{\frac{3\times 5+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Me whakarea te -\frac{3}{4} ki te \frac{71}{25} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{\frac{-3\times 71}{4\times 25}}{\frac{3\times 5+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{-3\times 71}{4\times 25}.

$$\frac{\frac{\frac{-213}{100}}{\frac{3\times 5+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Ka taea te hautanga \frac{-213}{100} te tuhi anō ko -\frac{213}{100} mā te tango i te tohu tōraro.

$$\frac{\frac{-\frac{213}{100}}{\frac{3\times 5+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Whakareatia te 3 ki te 5, ka 15.

$$\frac{\frac{-\frac{213}{100}}{\frac{15+3}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Tāpirihia te 15 ki te 3, ka 18.

$$\frac{\frac{-\frac{213}{100}}{\frac{18}{5}}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Whakawehe -\frac{213}{100} ki te \frac{18}{5} mā te whakarea -\frac{213}{100} ki te tau huripoki o \frac{18}{5}.

$$\frac{-\frac{213}{100}\times \frac{5}{18}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Me whakarea te -\frac{213}{100} ki te \frac{5}{18} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{-213\times 5}{100\times 18}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{-213\times 5}{100\times 18}.

$$\frac{\frac{-1065}{1800}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Whakahekea te hautanga \frac{-1065}{1800} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

$$\frac{-\frac{71}{120}}{-\frac{1\times 2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Whakareatia te 1 ki te 2, ka 2.

$$\frac{-\frac{71}{120}}{-\frac{2+1}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Tāpirihia te 2 ki te 1, ka 3.

$$\frac{-\frac{71}{120}}{-\frac{3}{2}}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Whakawehe -\frac{71}{120} ki te -\frac{3}{2} mā te whakarea -\frac{71}{120} ki te tau huripoki o -\frac{3}{2}.

$$-\frac{71}{120}\left(-\frac{2}{3}\right)\times \frac{50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Me whakarea te -\frac{71}{120} ki te -\frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-71\left(-2\right)}{120\times 3}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{-71\left(-2\right)}{120\times 3}.

$$\frac{142}{360}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Whakahekea te hautanga \frac{142}{360} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{71}{180}\times \frac{1\times 50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Whakareatia te 1 ki te 50, ka 50.

$$\frac{71}{180}\times \frac{50+21}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Tāpirihia te 50 ki te 21, ka 71.

$$\frac{71}{180}\times \frac{71}{50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Me whakarea te \frac{71}{180} ki te \frac{71}{50} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{71\times 71}{180\times 50}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{71\times 71}{180\times 50}.

$$\frac{5041}{9000}\left(-18\right)-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Tuhia te \frac{5041}{9000}\left(-18\right) hei hautanga kotahi.

$$\frac{5041\left(-18\right)}{9000}-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Whakareatia te 5041 ki te -18, ka -90738.

$$\frac{-90738}{9000}-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Whakahekea te hautanga \frac{-90738}{9000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 18.

$$-\frac{5041}{500}-\left(-2\right)^{2}\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Tātaihia te -2 mā te pū o 2, kia riro ko 4.

$$-\frac{5041}{500}-4\times 25\left(-\frac{4\times 20+1}{20}\right)$$

Whakareatia te 4 ki te 25, ka 100.

$$-\frac{5041}{500}-100\left(-\frac{4\times 20+1}{20}\right)$$

Whakareatia te 4 ki te 20, ka 80.

$$-\frac{5041}{500}-100\left(-\frac{80+1}{20}\right)$$

Tāpirihia te 80 ki te 1, ka 81.

$$-\frac{5041}{500}-100\left(-\frac{81}{20}\right)$$

Tuhia te 100\left(-\frac{81}{20}\right) hei hautanga kotahi.

$$-\frac{5041}{500}-\frac{100\left(-81\right)}{20}$$

Whakareatia te 100 ki te -81, ka -8100.

$$-\frac{5041}{500}-\frac{-8100}{20}$$

Whakawehea te -8100 ki te 20, kia riro ko -405.

$$-\frac{5041}{500}-\left(-405\right)$$

Ko te tauaro o -405 ko 405.

$$-\frac{5041}{500}+405$$

Me tahuri te 405 ki te hautau \frac{202500}{500}.

$$-\frac{5041}{500}+\frac{202500}{500}$$

Tā te mea he rite te tauraro o -\frac{5041}{500} me \frac{202500}{500}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-5041+202500}{500}$$

Tāpirihia te -5041 ki te 202500, ka 197459.

$$\frac{197459}{500}$$

Tauwehe

$$\frac{379 \cdot 521}{2 ^ {2} \cdot 5 ^ {3}} = 394\frac{459}{500} = 394.918$$