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

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

Izrēķināt

$$\frac{197459}{500}=394,918$$

Atrisinājuma darbības

Reiziniet 2 un 25, lai iegūtu 50.

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

Saskaitiet 50 un 21, lai iegūtu 71.

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

Reiziniet -\frac{3}{4} ar \frac{71}{25}, reizinot skaitītāju ar skaitītāju un saucēju ar saucēju.

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

Veiciet reizināšanas darbības daļskaitlī \frac{-3\times 71}{4\times 25}.

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

Daļskaitli \frac{-213}{100} var pārrakstīt kā -\frac{213}{100} , izvelkot negatīvo zīmi.

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

Reiziniet 3 un 5, lai iegūtu 15.

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

Saskaitiet 15 un 3, lai iegūtu 18.

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

Daliet -\frac{213}{100} ar \frac{18}{5}, reizinot -\frac{213}{100} ar apgriezto daļskaitli \frac{18}{5} .

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

Reiziniet -\frac{213}{100} ar \frac{5}{18}, reizinot skaitītāju ar skaitītāju un saucēju ar saucēju.

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

Veiciet reizināšanas darbības daļskaitlī \frac{-213\times 5}{100\times 18}.

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

Vienādot daļskaitli \frac{-1065}{1800} līdz mazākajam loceklim, izvelkot un saīsinot 15.

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

Reiziniet 1 un 2, lai iegūtu 2.

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

Saskaitiet 2 un 1, lai iegūtu 3.

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

Daliet -\frac{71}{120} ar -\frac{3}{2}, reizinot -\frac{71}{120} ar apgriezto daļskaitli -\frac{3}{2} .

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

Reiziniet -\frac{71}{120} ar -\frac{2}{3}, reizinot skaitītāju ar skaitītāju un saucēju ar saucēju.

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

Veiciet reizināšanas darbības daļskaitlī \frac{-71\left(-2\right)}{120\times 3}.

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

Vienādot daļskaitli \frac{142}{360} līdz mazākajam loceklim, izvelkot un saīsinot 2.

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

Reiziniet 1 un 50, lai iegūtu 50.

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

Saskaitiet 50 un 21, lai iegūtu 71.

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

Reiziniet \frac{71}{180} ar \frac{71}{50}, reizinot skaitītāju ar skaitītāju un saucēju ar saucēju.

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

Veiciet reizināšanas darbības daļskaitlī \frac{71\times 71}{180\times 50}.

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

Izsakiet \frac{5041}{9000}\left(-18\right) kā vienu daļskaitli.

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

Reiziniet 5041 un -18, lai iegūtu -90738.

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

Vienādot daļskaitli \frac{-90738}{9000} līdz mazākajam loceklim, izvelkot un saīsinot 18.

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

Aprēķiniet -2 pakāpē 2 un iegūstiet 4.

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

Reiziniet 4 un 25, lai iegūtu 100.

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

Reiziniet 4 un 20, lai iegūtu 80.

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

Saskaitiet 80 un 1, lai iegūtu 81.

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

Izsakiet 100\left(-\frac{81}{20}\right) kā vienu daļskaitli.

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

Reiziniet 100 un -81, lai iegūtu -8100.

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

Daliet -8100 ar 20, lai iegūtu -405.

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

Skaitļa -405 pretstats ir 405.

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

Pārvērst 405 par daļskaitli \frac{202500}{500}.

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

Tā kā -\frac{5041}{500} un \frac{202500}{500} ir viens un tas pats saucējs, saskaitiet tos, saskaitot to skaitītājus.

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

Saskaitiet -5041 un 202500, lai iegūtu 197459.

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

Sadalīt reizinātājos

$$\frac{379 \cdot 521}{2 ^ {2} \cdot 5 ^ {3}} = 394\frac{459}{500} = 394,918$$