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

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

Izračunaj

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

Koraci rješenja

Pomnožite 2 i 25 da biste dobili 50.

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

Dodajte 50 broju 21 da biste dobili 71.

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

Pomnožite -\frac{3}{4} i \frac{71}{25} tako da pomnožite brojnik s brojnikom i nazivnik s nazivnikom.

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

Izvedite množenje u razlomku \frac{-3\times 71}{4\times 25}.

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

Razlomak \frac{-213}{100} može se napisati kao -\frac{213}{100} tako da se izluči negativan predznak.

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

Pomnožite 3 i 5 da biste dobili 15.

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

Dodajte 15 broju 3 da biste dobili 18.

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

Podijelite -\frac{213}{100} s \frac{18}{5} tako da pomnožite -\frac{213}{100} s brojem recipročnim broju \frac{18}{5}.

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

Pomnožite -\frac{213}{100} i \frac{5}{18} tako da pomnožite brojnik s brojnikom i nazivnik s nazivnikom.

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

Izvedite množenje u razlomku \frac{-213\times 5}{100\times 18}.

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

Skratite razlomak \frac{-1065}{1800} na najmanje vrijednosti tako da izlučite i poništite 15.

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

Pomnožite 1 i 2 da biste dobili 2.

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

Dodajte 2 broju 1 da biste dobili 3.

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

Podijelite -\frac{71}{120} s -\frac{3}{2} tako da pomnožite -\frac{71}{120} s brojem recipročnim broju -\frac{3}{2}.

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

Pomnožite -\frac{71}{120} i -\frac{2}{3} tako da pomnožite brojnik s brojnikom i nazivnik s nazivnikom.

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

Izvedite množenje u razlomku \frac{-71\left(-2\right)}{120\times 3}.

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

Skratite razlomak \frac{142}{360} na najmanje vrijednosti tako da izlučite i poništite 2.

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

Pomnožite 1 i 50 da biste dobili 50.

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

Dodajte 50 broju 21 da biste dobili 71.

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

Pomnožite \frac{71}{180} i \frac{71}{50} tako da pomnožite brojnik s brojnikom i nazivnik s nazivnikom.

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

Izvedite množenje u razlomku \frac{71\times 71}{180\times 50}.

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

Izrazite \frac{5041}{9000}\left(-18\right) kao jedan razlomak.

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

Pomnožite 5041 i -18 da biste dobili -90738.

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

Skratite razlomak \frac{-90738}{9000} na najmanje vrijednosti tako da izlučite i poništite 18.

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

Izračunajte koliko je 2 na -2 da biste dobili 4.

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

Pomnožite 4 i 25 da biste dobili 100.

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

Pomnožite 4 i 20 da biste dobili 80.

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

Dodajte 80 broju 1 da biste dobili 81.

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

Izrazite 100\left(-\frac{81}{20}\right) kao jedan razlomak.

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

Pomnožite 100 i -81 da biste dobili -8100.

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

Podijelite -8100 s 20 da biste dobili -405.

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

Broj suprotan broju -405 jest 405.

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

Pretvorite 405 u razlomak \frac{202500}{500}.

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

Budući da -\frac{5041}{500} i \frac{202500}{500} imaju isti nazivnik, zbrojite ih zbrajanjem njihovih brojnika.

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

Dodajte -5041 broju 202500 da biste dobili 197459.

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

Faktor

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