Izračunaj
\frac{173787381844645}{674580407353488}\approx 0,257622931
Faktor
\frac{5 \cdot 47 \cdot 73 \cdot 107 \cdot 199 \cdot 475763}{2 ^ {4} \cdot 3 ^ {2} \cdot 128971 \cdot 36322787} = 0,25762293115871415
Dijeliti
Kopirano u međuspremnik
\frac{\frac{14}{18}-\frac{3481931920}{9}\times \frac{41}{12381216}+\frac{15}{6}}{\left(\frac{9}{321}+\frac{1}{2}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Izrazite \frac{\frac{\frac{14}{18}-\frac{3481931920}{9}\times \frac{41}{12381216}+\frac{15}{6}}{\frac{9}{321}+\frac{1}{2}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}}}{16} kao jedan razlomak.
\frac{\frac{7}{9}-\frac{3481931920}{9}\times \frac{41}{12381216}+\frac{15}{6}}{\left(\frac{9}{321}+\frac{1}{2}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Skratite razlomak \frac{14}{18} na najmanje vrijednosti tako da izlučite i poništite 2.
\frac{\frac{7}{9}-\frac{3481931920\times 41}{9\times 12381216}+\frac{15}{6}}{\left(\frac{9}{321}+\frac{1}{2}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Pomnožite \frac{3481931920}{9} i \frac{41}{12381216} tako da pomnožite brojnik s brojnikom i nazivnik s nazivnikom.
\frac{\frac{7}{9}-\frac{142759208720}{111430944}+\frac{15}{6}}{\left(\frac{9}{321}+\frac{1}{2}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Izvedite množenje u razlomku \frac{3481931920\times 41}{9\times 12381216}.
\frac{\frac{7}{9}-\frac{8922450545}{6964434}+\frac{15}{6}}{\left(\frac{9}{321}+\frac{1}{2}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Skratite razlomak \frac{142759208720}{111430944} na najmanje vrijednosti tako da izlučite i poništite 16.
\frac{\frac{5416782}{6964434}-\frac{8922450545}{6964434}+\frac{15}{6}}{\left(\frac{9}{321}+\frac{1}{2}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Najmanji zajednički višekratnik brojeva 9 i 6964434 je 6964434. Pretvorite \frac{7}{9} i \frac{8922450545}{6964434} u razlomak s nazivnikom 6964434.
\frac{\frac{5416782-8922450545}{6964434}+\frac{15}{6}}{\left(\frac{9}{321}+\frac{1}{2}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Budući da \frac{5416782}{6964434} i \frac{8922450545}{6964434} imaju isti nazivnik, oduzmite ih oduzimanje njihovih brojnika.
\frac{-\frac{8917033763}{6964434}+\frac{15}{6}}{\left(\frac{9}{321}+\frac{1}{2}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Oduzmite 8922450545 od 5416782 da biste dobili -8917033763.
\frac{-\frac{8917033763}{6964434}+\frac{5}{2}}{\left(\frac{9}{321}+\frac{1}{2}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Skratite razlomak \frac{15}{6} na najmanje vrijednosti tako da izlučite i poništite 3.
\frac{-\frac{8917033763}{6964434}+\frac{17411085}{6964434}}{\left(\frac{9}{321}+\frac{1}{2}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Najmanji zajednički višekratnik brojeva 6964434 i 2 je 6964434. Pretvorite -\frac{8917033763}{6964434} i \frac{5}{2} u razlomak s nazivnikom 6964434.
\frac{\frac{-8917033763+17411085}{6964434}}{\left(\frac{9}{321}+\frac{1}{2}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Budući da -\frac{8917033763}{6964434} i \frac{17411085}{6964434} imaju isti nazivnik, zbrojite ih zbrajanjem njihovih brojnika.
\frac{\frac{-8899622678}{6964434}}{\left(\frac{9}{321}+\frac{1}{2}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Dodajte -8917033763 broju 17411085 da biste dobili -8899622678.
\frac{-\frac{4449811339}{3482217}}{\left(\frac{9}{321}+\frac{1}{2}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Skratite razlomak \frac{-8899622678}{6964434} na najmanje vrijednosti tako da izlučite i poništite 2.
\frac{-\frac{4449811339}{3482217}}{\left(\frac{3}{107}+\frac{1}{2}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Skratite razlomak \frac{9}{321} na najmanje vrijednosti tako da izlučite i poništite 3.
\frac{-\frac{4449811339}{3482217}}{\left(\frac{6}{214}+\frac{107}{214}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Najmanji zajednički višekratnik brojeva 107 i 2 je 214. Pretvorite \frac{3}{107} i \frac{1}{2} u razlomak s nazivnikom 214.
\frac{-\frac{4449811339}{3482217}}{\left(\frac{6+107}{214}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Budući da \frac{6}{214} i \frac{107}{214} imaju isti nazivnik, zbrojite ih zbrajanjem njihovih brojnika.
\frac{-\frac{4449811339}{3482217}}{\left(\frac{113}{214}-\frac{\frac{\frac{2}{7}}{\frac{365}{1232819}}}{\frac{9}{3}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Dodajte 6 broju 107 da biste dobili 113.
\frac{-\frac{4449811339}{3482217}}{\left(\frac{113}{214}-\frac{\frac{2}{7}\times 3}{\frac{365}{1232819}\times 9}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Podijelite \frac{\frac{2}{7}}{\frac{365}{1232819}} s \frac{9}{3} tako da pomnožite \frac{\frac{2}{7}}{\frac{365}{1232819}} s brojem recipročnim broju \frac{9}{3}.
\frac{-\frac{4449811339}{3482217}}{\left(\frac{113}{214}-\frac{\frac{2}{7}}{\frac{365}{1232819}\times 3}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Skratite 3 u brojniku i nazivniku.
\frac{-\frac{4449811339}{3482217}}{\left(\frac{113}{214}-\frac{\frac{2}{7}}{\frac{365\times 3}{1232819}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Izrazite \frac{365}{1232819}\times 3 kao jedan razlomak.
\frac{-\frac{4449811339}{3482217}}{\left(\frac{113}{214}-\frac{\frac{2}{7}}{\frac{1095}{1232819}}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Pomnožite 365 i 3 da biste dobili 1095.
\frac{-\frac{4449811339}{3482217}}{\left(\frac{113}{214}-\frac{2}{7}\times \frac{1232819}{1095}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Podijelite \frac{2}{7} s \frac{1095}{1232819} tako da pomnožite \frac{2}{7} s brojem recipročnim broju \frac{1095}{1232819}.
\frac{-\frac{4449811339}{3482217}}{\left(\frac{113}{214}-\frac{2\times 1232819}{7\times 1095}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Pomnožite \frac{2}{7} i \frac{1232819}{1095} tako da pomnožite brojnik s brojnikom i nazivnik s nazivnikom.
\frac{-\frac{4449811339}{3482217}}{\left(\frac{113}{214}-\frac{2465638}{7665}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Izvedite množenje u razlomku \frac{2\times 1232819}{7\times 1095}.
\frac{-\frac{4449811339}{3482217}}{\left(\frac{113}{214}-\frac{352234}{1095}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Skratite razlomak \frac{2465638}{7665} na najmanje vrijednosti tako da izlučite i poništite 7.
\frac{-\frac{4449811339}{3482217}}{\left(\frac{123735}{234330}-\frac{75378076}{234330}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Najmanji zajednički višekratnik brojeva 214 i 1095 je 234330. Pretvorite \frac{113}{214} i \frac{352234}{1095} u razlomak s nazivnikom 234330.
\frac{-\frac{4449811339}{3482217}}{\left(\frac{123735-75378076}{234330}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Budući da \frac{123735}{234330} i \frac{75378076}{234330} imaju isti nazivnik, oduzmite ih oduzimanje njihovih brojnika.
\frac{-\frac{4449811339}{3482217}}{\left(-\frac{75254341}{234330}+\frac{\frac{9}{8}}{\frac{365}{3612}}\right)\times 16}
Oduzmite 75378076 od 123735 da biste dobili -75254341.
\frac{-\frac{4449811339}{3482217}}{\left(-\frac{75254341}{234330}+\frac{9}{8}\times \frac{3612}{365}\right)\times 16}
Podijelite \frac{9}{8} s \frac{365}{3612} tako da pomnožite \frac{9}{8} s brojem recipročnim broju \frac{365}{3612}.
\frac{-\frac{4449811339}{3482217}}{\left(-\frac{75254341}{234330}+\frac{9\times 3612}{8\times 365}\right)\times 16}
Pomnožite \frac{9}{8} i \frac{3612}{365} tako da pomnožite brojnik s brojnikom i nazivnik s nazivnikom.
\frac{-\frac{4449811339}{3482217}}{\left(-\frac{75254341}{234330}+\frac{32508}{2920}\right)\times 16}
Izvedite množenje u razlomku \frac{9\times 3612}{8\times 365}.
\frac{-\frac{4449811339}{3482217}}{\left(-\frac{75254341}{234330}+\frac{8127}{730}\right)\times 16}
Skratite razlomak \frac{32508}{2920} na najmanje vrijednosti tako da izlučite i poništite 4.
\frac{-\frac{4449811339}{3482217}}{\left(-\frac{75254341}{234330}+\frac{2608767}{234330}\right)\times 16}
Najmanji zajednički višekratnik brojeva 234330 i 730 je 234330. Pretvorite -\frac{75254341}{234330} i \frac{8127}{730} u razlomak s nazivnikom 234330.
\frac{-\frac{4449811339}{3482217}}{\frac{-75254341+2608767}{234330}\times 16}
Budući da -\frac{75254341}{234330} i \frac{2608767}{234330} imaju isti nazivnik, zbrojite ih zbrajanjem njihovih brojnika.
\frac{-\frac{4449811339}{3482217}}{\frac{-72645574}{234330}\times 16}
Dodajte -75254341 broju 2608767 da biste dobili -72645574.
\frac{-\frac{4449811339}{3482217}}{-\frac{36322787}{117165}\times 16}
Skratite razlomak \frac{-72645574}{234330} na najmanje vrijednosti tako da izlučite i poništite 2.
\frac{-\frac{4449811339}{3482217}}{\frac{-36322787\times 16}{117165}}
Izrazite -\frac{36322787}{117165}\times 16 kao jedan razlomak.
\frac{-\frac{4449811339}{3482217}}{\frac{-581164592}{117165}}
Pomnožite -36322787 i 16 da biste dobili -581164592.
\frac{-\frac{4449811339}{3482217}}{-\frac{581164592}{117165}}
Razlomak \frac{-581164592}{117165} može se napisati kao -\frac{581164592}{117165} tako da se izluči negativan predznak.
-\frac{4449811339}{3482217}\left(-\frac{117165}{581164592}\right)
Podijelite -\frac{4449811339}{3482217} s -\frac{581164592}{117165} tako da pomnožite -\frac{4449811339}{3482217} s brojem recipročnim broju -\frac{581164592}{117165}.
\frac{-4449811339\left(-117165\right)}{3482217\times 581164592}
Pomnožite -\frac{4449811339}{3482217} i -\frac{117165}{581164592} tako da pomnožite brojnik s brojnikom i nazivnik s nazivnikom.
\frac{521362145533935}{2023741222060464}
Izvedite množenje u razlomku \frac{-4449811339\left(-117165\right)}{3482217\times 581164592}.
\frac{173787381844645}{674580407353488}
Skratite razlomak \frac{521362145533935}{2023741222060464} na najmanje vrijednosti tako da izlučite i poništite 3.
Primjerima
Kvadratna jednadžba
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometrija
4 \sin \theta \cos \theta = 2 \sin \theta
Linearna jednadžba
y = 3x + 4
Aritmetika
699 * 533
Matrica
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Istovremena jednadžba
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Diferencijacija
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integracija
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Granice
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}