ដោះស្រាយ (83!/81!+82!)(40!+41!/42!

$$( \frac{ 83 ! }{ 81 ! +82 ! } )( \frac{ 40 ! +41 ! }{ 42 ! }$$

វាយតម្លៃ

$$2$$

ជំហានចម្លើយ

ហ្វាក់តូរីយ៉្យែលនៃ 83 គឺ 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000។

$$\frac{39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000}{81!+82!}\times \frac{40!+41!}{42!}$$

ហ្វាក់តូរីយ៉្យែលនៃ 81 គឺ 5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000។

$$\frac{39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000}{5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000+82!}\times \frac{40!+41!}{42!}$$

ហ្វាក់តូរីយ៉្យែលនៃ 82 គឺ 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000។

$$\frac{39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000}{5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000+475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000}\times \frac{40!+41!}{42!}$$

បូក 5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000 និង 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000 ដើម្បីបាន 481161459722031542828017941220983055749225651312724954575906799126460384914593040669263316342728913059840000000000000000000។

$$\frac{39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000}{481161459722031542828017941220983055749225651312724954575906799126460384914593040669263316342728913059840000000000000000000}\times \frac{40!+41!}{42!}$$

ចែក 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000 នឹង 481161459722031542828017941220983055749225651312724954575906799126460384914593040669263316342728913059840000000000000000000 ដើម្បីបាន82។

$$82\times \frac{40!+41!}{42!}$$

ហ្វាក់តូរីយ៉្យែលនៃ 40 គឺ 815915283247897734345611269596115894272000000000។

$$82\times \frac{815915283247897734345611269596115894272000000000+41!}{42!}$$

ហ្វាក់តូរីយ៉្យែលនៃ 41 គឺ 33452526613163807108170062053440751665152000000000។

$$82\times \frac{815915283247897734345611269596115894272000000000+33452526613163807108170062053440751665152000000000}{42!}$$

បូក 815915283247897734345611269596115894272000000000 និង 33452526613163807108170062053440751665152000000000 ដើម្បីបាន 34268441896411704842515673323036867559424000000000។

$$82\times \frac{34268441896411704842515673323036867559424000000000}{42!}$$

ហ្វាក់តូរីយ៉្យែលនៃ 42 គឺ 1405006117752879898543142606244511569936384000000000។

$$82\times \frac{34268441896411704842515673323036867559424000000000}{1405006117752879898543142606244511569936384000000000}$$

កាត់បន្ថយប្រភាគ \frac{34268441896411704842515673323036867559424000000000}{1405006117752879898543142606244511569936384000000000} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 34268441896411704842515673323036867559424000000000។

$$82\times \frac{1}{41}$$

គុណ 82 និង \frac{1}{41} ដើម្បីបាន \frac{82}{41}។

$$\frac{82}{41}$$

ចែក 82 នឹង 41 ដើម្បីបាន2។

$$2$$

ដាក់ជាកត្តា

$$2$$