Rešite 3/10+[(17/20-5/6-2/3):(-frac{3}{2}-5)^2+frac{8}{13}-frac{4}{5}]^3*[(frac{1}{7}+frac{3}{4}):(-frac{1}{2}+frac{3}{7})]

$$\frac { 3 } { 10 } + [ ( \frac { 17 } { 20 } - \frac { 5 } { 6 } - \frac { 2 } { 3 } ) : ( - \frac { 3 } { 2 } - 5 ) ^ { 2 } + \frac { 8 } { 13 } - \frac { 4 } { 5 } ] ^ { 3 } \cdot [ ( \frac { 1 } { 7 } + \frac { 3 } { 4 } ) : ( - \frac { 1 } { 2 } + \frac { 3 } { 7 } ) ]$$

Ovrednoti

$$\frac{2}{5}=0,4$$

Koraki rešitve

Odštejte \frac{5}{6} od \frac{17}{20}, da dobite \frac{1}{60}.

$$\frac{3}{10}+\left(\frac{\frac{1}{60}-\frac{2}{3}}{\left(-\frac{3}{2}-5\right)^{2}}+\frac{8}{13}-\frac{4}{5}\right)^{3}\times \frac{\frac{1}{7}+\frac{3}{4}}{-\frac{1}{2}+\frac{3}{7}}$$

Odštejte \frac{2}{3} od \frac{1}{60}, da dobite -\frac{13}{20}.

$$\frac{3}{10}+\left(\frac{-\frac{13}{20}}{\left(-\frac{3}{2}-5\right)^{2}}+\frac{8}{13}-\frac{4}{5}\right)^{3}\times \frac{\frac{1}{7}+\frac{3}{4}}{-\frac{1}{2}+\frac{3}{7}}$$

Odštejte 5 od -\frac{3}{2}, da dobite -\frac{13}{2}.

$$\frac{3}{10}+\left(\frac{-\frac{13}{20}}{\left(-\frac{13}{2}\right)^{2}}+\frac{8}{13}-\frac{4}{5}\right)^{3}\times \frac{\frac{1}{7}+\frac{3}{4}}{-\frac{1}{2}+\frac{3}{7}}$$

Izračunajte potenco -\frac{13}{2} števila 2, da dobite \frac{169}{4}.

$$\frac{3}{10}+\left(\frac{-\frac{13}{20}}{\frac{169}{4}}+\frac{8}{13}-\frac{4}{5}\right)^{3}\times \frac{\frac{1}{7}+\frac{3}{4}}{-\frac{1}{2}+\frac{3}{7}}$$

Delite -\frac{13}{20} s/z \frac{169}{4} tako, da pomnožite -\frac{13}{20} z obratno vrednostjo \frac{169}{4}.

$$\frac{3}{10}+\left(-\frac{13}{20}\times \frac{4}{169}+\frac{8}{13}-\frac{4}{5}\right)^{3}\times \frac{\frac{1}{7}+\frac{3}{4}}{-\frac{1}{2}+\frac{3}{7}}$$

Pomnožite -\frac{13}{20} in \frac{4}{169}, da dobite -\frac{1}{65}.

$$\frac{3}{10}+\left(-\frac{1}{65}+\frac{8}{13}-\frac{4}{5}\right)^{3}\times \frac{\frac{1}{7}+\frac{3}{4}}{-\frac{1}{2}+\frac{3}{7}}$$

Seštejte -\frac{1}{65} in \frac{8}{13}, da dobite \frac{3}{5}.

$$\frac{3}{10}+\left(\frac{3}{5}-\frac{4}{5}\right)^{3}\times \frac{\frac{1}{7}+\frac{3}{4}}{-\frac{1}{2}+\frac{3}{7}}$$

Odštejte \frac{4}{5} od \frac{3}{5}, da dobite -\frac{1}{5}.

$$\frac{3}{10}+\left(-\frac{1}{5}\right)^{3}\times \frac{\frac{1}{7}+\frac{3}{4}}{-\frac{1}{2}+\frac{3}{7}}$$

Izračunajte potenco -\frac{1}{5} števila 3, da dobite -\frac{1}{125}.

$$\frac{3}{10}-\frac{1}{125}\times \frac{\frac{1}{7}+\frac{3}{4}}{-\frac{1}{2}+\frac{3}{7}}$$

Seštejte \frac{1}{7} in \frac{3}{4}, da dobite \frac{25}{28}.

$$\frac{3}{10}-\frac{1}{125}\times \frac{\frac{25}{28}}{-\frac{1}{2}+\frac{3}{7}}$$

Seštejte -\frac{1}{2} in \frac{3}{7}, da dobite -\frac{1}{14}.

$$\frac{3}{10}-\frac{1}{125}\times \frac{\frac{25}{28}}{-\frac{1}{14}}$$

Delite \frac{25}{28} s/z -\frac{1}{14} tako, da pomnožite \frac{25}{28} z obratno vrednostjo -\frac{1}{14}.

$$\frac{3}{10}-\frac{1}{125}\times \frac{25}{28}\left(-14\right)$$

Pomnožite \frac{25}{28} in -14, da dobite -\frac{25}{2}.

$$\frac{3}{10}-\frac{1}{125}\left(-\frac{25}{2}\right)$$

Pomnožite -\frac{1}{125} in -\frac{25}{2}, da dobite \frac{1}{10}.

$$\frac{3}{10}+\frac{1}{10}$$

Seštejte \frac{3}{10} in \frac{1}{10}, da dobite \frac{2}{5}.

$$\frac{2}{5}$$

Faktoriziraj

$$\frac{2}{5} = 0,4$$