ដោះស្រាយ 70!*70!/80!*60!+70!*70!*100/80!*61!

$$\frac{ 70 ! \times 70 ! }{ 80 ! \times 60 ! } + \frac{ 70 ! \times 70 ! \times 100 }{ 80 ! \times 61 ! }$$

វាយតម្លៃ

$$\frac{915244589}{1439241355}\approx 0.635921547$$

ជំហានចម្លើយ

គុណ 70! និង 70! ដើម្បីបាន \left(70!\right)^{2}។

$$\frac{\left(70!\right)^{2}}{80!\times 60!}+\frac{70!\times 70!\times 100}{80!\times 61!}$$

គុណ 70! និង 70! ដើម្បីបាន \left(70!\right)^{2}។

$$\frac{\left(70!\right)^{2}}{80!\times 60!}+\frac{\left(70!\right)^{2}\times 100}{80!\times 61!}$$

ហ្វាក់តូរីយ៉្យែលនៃ 70 គឺ 11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000។

$$\frac{11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000^{2}}{80!\times 60!}+\frac{\left(70!\right)^{2}\times 100}{80!\times 61!}$$

គណនាស្វ័យគុណ 11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000 នៃ 2 ហើយបាន 143486179252605282342806635197268128186483973356654097161524529227261957403344906950524588163677475732975695571390639580290806725956789181304836309777641976540401395302400000000000000000000000000000000។

$$\frac{143486179252605282342806635197268128186483973356654097161524529227261957403344906950524588163677475732975695571390639580290806725956789181304836309777641976540401395302400000000000000000000000000000000}{80!\times 60!}+\frac{\left(70!\right)^{2}\times 100}{80!\times 61!}$$

ហ្វាក់តូរីយ៉្យែលនៃ 80 គឺ 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000។

$$\frac{143486179252605282342806635197268128186483973356654097161524529227261957403344906950524588163677475732975695571390639580290806725956789181304836309777641976540401395302400000000000000000000000000000000}{71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000\times 60!}+\frac{\left(70!\right)^{2}\times 100}{80!\times 61!}$$

ហ្វាក់តូរីយ៉្យែលនៃ 60 គឺ 8320987112741390144276341183223364380754172606361245952449277696409600000000000000។

$$\frac{143486179252605282342806635197268128186483973356654097161524529227261957403344906950524588163677475732975695571390639580290806725956789181304836309777641976540401395302400000000000000000000000000000000}{71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000\times 8320987112741390144276341183223364380754172606361245952449277696409600000000000000}+\frac{\left(70!\right)^{2}\times 100}{80!\times 61!}$$

គុណ 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000 និង 8320987112741390144276341183223364380754172606361245952449277696409600000000000000 ដើម្បីបាន 595528529747859576732551720067744655471974906375437967027891579389978351058077643608066119727979258178207029727548544024718296431927079222747502820344753912504981127168000000000000000000000000000000000។

$$\frac{143486179252605282342806635197268128186483973356654097161524529227261957403344906950524588163677475732975695571390639580290806725956789181304836309777641976540401395302400000000000000000000000000000000}{595528529747859576732551720067744655471974906375437967027891579389978351058077643608066119727979258178207029727548544024718296431927079222747502820344753912504981127168000000000000000000000000000000000}+\frac{\left(70!\right)^{2}\times 100}{80!\times 61!}$$

កាត់បន្ថយប្រភាគ \frac{143486179252605282342806635197268128186483973356654097161524529227261957403344906950524588163677475732975695571390639580290806725956789181304836309777641976540401395302400000000000000000000000000000000}{595528529747859576732551720067744655471974906375437967027891579389978351058077643608066119727979258178207029727548544024718296431927079222747502820344753912504981127168000000000000000000000000000000000} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 413779473247459302427112178184835896041894173041906489011283016801569289994503836090831422592063621030544268739101471986759508054802301885459303537275548834201600000000000000000000000000000000។

$$\frac{346769689}{1439241355}+\frac{\left(70!\right)^{2}\times 100}{80!\times 61!}$$

ហ្វាក់តូរីយ៉្យែលនៃ 70 គឺ 11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000។

$$\frac{346769689}{1439241355}+\frac{11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000^{2}\times 100}{80!\times 61!}$$

គណនាស្វ័យគុណ 11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000 នៃ 2 ហើយបាន 143486179252605282342806635197268128186483973356654097161524529227261957403344906950524588163677475732975695571390639580290806725956789181304836309777641976540401395302400000000000000000000000000000000។

$$\frac{346769689}{1439241355}+\frac{143486179252605282342806635197268128186483973356654097161524529227261957403344906950524588163677475732975695571390639580290806725956789181304836309777641976540401395302400000000000000000000000000000000\times 100}{80!\times 61!}$$

គុណ 143486179252605282342806635197268128186483973356654097161524529227261957403344906950524588163677475732975695571390639580290806725956789181304836309777641976540401395302400000000000000000000000000000000 និង 100 ដើម្បីបាន 14348617925260528234280663519726812818648397335665409716152452922726195740334490695052458816367747573297569557139063958029080672595678918130483630977764197654040139530240000000000000000000000000000000000។

$$\frac{346769689}{1439241355}+\frac{14348617925260528234280663519726812818648397335665409716152452922726195740334490695052458816367747573297569557139063958029080672595678918130483630977764197654040139530240000000000000000000000000000000000}{80!\times 61!}$$

ហ្វាក់តូរីយ៉្យែលនៃ 80 គឺ 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000។

$$\frac{346769689}{1439241355}+\frac{14348617925260528234280663519726812818648397335665409716152452922726195740334490695052458816367747573297569557139063958029080672595678918130483630977764197654040139530240000000000000000000000000000000000}{71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000\times 61!}$$

ហ្វាក់តូរីយ៉្យែលនៃ 61 គឺ 507580213877224798800856812176625227226004528988036003099405939480985600000000000000។

$$\frac{346769689}{1439241355}+\frac{14348617925260528234280663519726812818648397335665409716152452922726195740334490695052458816367747573297569557139063958029080672595678918130483630977764197654040139530240000000000000000000000000000000000}{71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000\times 507580213877224798800856812176625227226004528988036003099405939480985600000000000000}$$

គុណ 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000 និង 507580213877224798800856812176625227226004528988036003099405939480985600000000000000 ដើម្បីបាន 36327240314619434180685654924132423983790469288901715988701386342788679414542736260092033303406734748870628813380461185507816082347551832587597672041029988662803848757248000000000000000000000000000000000។

$$\frac{346769689}{1439241355}+\frac{14348617925260528234280663519726812818648397335665409716152452922726195740334490695052458816367747573297569557139063958029080672595678918130483630977764197654040139530240000000000000000000000000000000000}{36327240314619434180685654924132423983790469288901715988701386342788679414542736260092033303406734748870628813380461185507816082347551832587597672041029988662803848757248000000000000000000000000000000000}$$

កាត់បន្ថយប្រភាគ \frac{14348617925260528234280663519726812818648397335665409716152452922726195740334490695052458816367747573297569557139063958029080672595678918130483630977764197654040139530240000000000000000000000000000000000}{36327240314619434180685654924132423983790469288901715988701386342788679414542736260092033303406734748870628813380461185507816082347551832587597672041029988662803848757248000000000000000000000000000000000} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 126202739340475087240269214346374948292777722777781479148441320124478633448323670007703583890579404414316001965425948955961649956714702075065087578869042394431488000000000000000000000000000000000។

$$\frac{346769689}{1439241355}+\frac{113694980}{287848271}$$

ផលគុណរួមតូចបំផុតនៃ 1439241355 និង 287848271 គឺ 1439241355។ ប​ម្លែង \frac{346769689}{1439241355} និង \frac{113694980}{287848271} ទៅជាប្រភាគជាមួយភាគបែង 1439241355។

$$\frac{346769689}{1439241355}+\frac{568474900}{1439241355}$$

ដោយសារ \frac{346769689}{1439241355} និង \frac{568474900}{1439241355} មានភាគបែងដូចគ្នា សូមបូកពួកវាដោយការបូកភាគយករបស់ពួកវា។

$$\frac{346769689+568474900}{1439241355}$$

បូក 346769689 និង 568474900 ដើម្បីបាន 915244589។

$$\frac{915244589}{1439241355}$$

ដាក់ជាកត្តា

$$\frac{7 ^ {2} \cdot 17 \cdot 23 ^ {2} \cdot 31 \cdot 67}{5 \cdot 19 \cdot 37 \cdot 71 \cdot 73 \cdot 79} = 0.6359215470153023$$