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

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

Ovrednoti

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

Koraki rešitve

Pomnožite 2 in 25, da dobite 50.

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

Seštejte 50 in 21, da dobite 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} s/z \frac{71}{25} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

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

Izvedite množenja v ulomku \frac{-3\times 71}{4\times 25}.

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

Ulomek \frac{-213}{100} je mogoče drugače zapisati kot -\frac{213}{100} z ekstrahiranjem negativnega znaka.

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

Pomnožite 3 in 5, da dobite 15.

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

Seštejte 15 in 3, da dobite 18.

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

Delite -\frac{213}{100} s/z \frac{18}{5} tako, da pomnožite -\frac{213}{100} z obratno vrednostjo \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} s/z \frac{5}{18} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

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

Izvedite množenja v ulomku \frac{-213\times 5}{100\times 18}.

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

Zmanjšajte ulomek \frac{-1065}{1800} na najmanjši imenovalec tako, da izpeljete in okrajšate 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 in 2, da dobite 2.

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

Seštejte 2 in 1, da dobite 3.

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

Delite -\frac{71}{120} s/z -\frac{3}{2} tako, da pomnožite -\frac{71}{120} z obratno vrednostjo -\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} s/z -\frac{2}{3} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

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

Izvedite množenja v ulomku \frac{-71\left(-2\right)}{120\times 3}.

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

Zmanjšajte ulomek \frac{142}{360} na najmanjši imenovalec tako, da izpeljete in okrajšate 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 in 50, da dobite 50.

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

Seštejte 50 in 21, da dobite 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} s/z \frac{71}{50} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

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

Izvedite množenja v ulomku \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) kot enojni ulomek.

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

Pomnožite 5041 in -18, da dobite -90738.

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

Zmanjšajte ulomek \frac{-90738}{9000} na najmanjši imenovalec tako, da izpeljete in okrajšate 18.

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

Izračunajte potenco -2 števila 2, da dobite 4.

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

Pomnožite 4 in 25, da dobite 100.

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

Pomnožite 4 in 20, da dobite 80.

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

Seštejte 80 in 1, da dobite 81.

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

Izrazite 100\left(-\frac{81}{20}\right) kot enojni ulomek.

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

Pomnožite 100 in -81, da dobite -8100.

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

Delite -8100 s/z 20, da dobite -405.

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

Nasprotna vrednost -405 je 405.

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

Pretvorite 405 v ulomek \frac{202500}{500}.

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

-\frac{5041}{500} in \frac{202500}{500} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

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

Seštejte -5041 in 202500, da dobite 197459.

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

Faktoriziraj

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