ដោះស្រាយ 35*1-1/(1.035)^36/0.035+1000/(1.035)^30

$$35 \times \frac { 1 - \frac { 1 } { ( 1.035 ) ^ { 36 } } } { 0.035 } + \frac { 1000 } { ( 1.035 ) ^ { 30 } }$$

វាយតម្លៃ

$$\frac{252854787844543599109212979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}\approx 1066.445694024$$

ជំហានចម្លើយ

គណនាស្វ័យគុណ 1.035 នៃ 36 ហើយបាន 3.450266111455967907325786350602725936443778990709405243289294726555537040915296110339113511145114898681640625។

$$35\times \frac{1-\frac{1}{3.450266111455967907325786350602725936443778990709405243289294726555537040915296110339113511145114898681640625}}{0.035}+\frac{1000}{1.035^{30}}$$

ពង្រីក \frac{1}{3.450266111455967907325786350602725936443778990709405243289294726555537040915296110339113511145114898681640625} ដោយគុណទាំងភាគបែង និងភាគយកជាមួយនឹង 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000។

$$35\times \frac{1-\frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{3450266111455967907325786350602725936443778990709405243289294726555537040915296110339113511145114898681640625}}{0.035}+\frac{1000}{1.035^{30}}$$

កាត់បន្ថយប្រភាគ \frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{3450266111455967907325786350602725936443778990709405243289294726555537040915296110339113511145114898681640625} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 14551915228366851806640625។

$$35\times \frac{1-\frac{68719476736000000000000000000000000000000000000000000000000000000000000000000000000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}}{0.035}+\frac{1000}{1.035^{30}}$$

បម្លែង 1 ទៅជាប្រភាគ \frac{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}។

$$35\times \frac{\frac{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}-\frac{68719476736000000000000000000000000000000000000000000000000000000000000000000000000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}}{0.035}+\frac{1000}{1.035^{30}}$$

ដោយសារ \frac{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201} និង \frac{68719476736000000000000000000000000000000000000000000000000000000000000000000000000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201} មានភាគបែងដូចគ្នា សូមដកពួកវាដោយការដកភាគយករបស់ពួកវា។

$$35\times \frac{\frac{237100481779207569695836979093150364567632084923980533752615109079380709095164971201-68719476736000000000000000000000000000000000000000000000000000000000000000000000000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}}{0.035}+\frac{1000}{1.035^{30}}$$

ដក​ 68719476736000000000000000000000000000000000000000000000000000000000000000000000000 ពី 237100481779207569695836979093150364567632084923980533752615109079380709095164971201 ដើម្បីបាន 168381005043207569695836979093150364567632084923980533752615109079380709095164971201។

$$35\times \frac{\frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}}{0.035}+\frac{1000}{1.035^{30}}$$

បង្ហាញ \frac{\frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}}{0.035} ជាប្រភាគទោល។

$$35\times \frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201\times 0.035}+\frac{1000}{1.035^{30}}$$

គុណ 237100481779207569695836979093150364567632084923980533752615109079380709095164971201 និង 0.035 ដើម្បីបាន 8298516862272264939354294268260262759867122972339318681341528817778324818330773992.035។

$$35\times \frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201}{8298516862272264939354294268260262759867122972339318681341528817778324818330773992.035}+\frac{1000}{1.035^{30}}$$

ពង្រីក \frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201}{8298516862272264939354294268260262759867122972339318681341528817778324818330773992.035} ដោយគុណទាំងភាគបែង និងភាគយកជាមួយនឹង 1000។

$$35\times \frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{8298516862272264939354294268260262759867122972339318681341528817778324818330773992035}+\frac{1000}{1.035^{30}}$$

កាត់បន្ថយប្រភាគ \frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{8298516862272264939354294268260262759867122972339318681341528817778324818330773992035} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 35។

$$35\times \frac{4810885858377359134166770831232867559075202426399443821503288830839448831290427748600}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}+\frac{1000}{1.035^{30}}$$

បង្ហាញ 35\times \frac{4810885858377359134166770831232867559075202426399443821503288830839448831290427748600}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201} ជាប្រភាគទោល។

$$\frac{35\times 4810885858377359134166770831232867559075202426399443821503288830839448831290427748600}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}+\frac{1000}{1.035^{30}}$$

គុណ 35 និង 4810885858377359134166770831232867559075202426399443821503288830839448831290427748600 ដើម្បីបាន 168381005043207569695836979093150364567632084923980533752615109079380709095164971201000។

$$\frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}+\frac{1000}{1.035^{30}}$$

គណនាស្វ័យគុណ 1.035 នៃ 30 ហើយបាន 2.806793704702633616983891832168892979806961373469044108382206494831711985170841217041015625។

$$\frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}+\frac{1000}{2.806793704702633616983891832168892979806961373469044108382206494831711985170841217041015625}$$

ពង្រីក \frac{1000}{2.806793704702633616983891832168892979806961373469044108382206494831711985170841217041015625} ដោយគុណទាំងភាគបែង និងភាគយកជាមួយនឹង 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000។

$$\frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}+\frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{2806793704702633616983891832168892979806961373469044108382206494831711985170841217041015625}$$

កាត់បន្ថយប្រភាគ \frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{2806793704702633616983891832168892979806961373469044108382206494831711985170841217041015625} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 931322574615478515625។

$$\frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}+\frac{1073741824000000000000000000000000000000000000000000000000000000000000000}{3013771792079123197504001394491729024198721873046196628470764090905249}$$

ផលគុណរួមតូចបំផុតនៃ 237100481779207569695836979093150364567632084923980533752615109079380709095164971201 និង 3013771792079123197504001394491729024198721873046196628470764090905249 គឺ 237100481779207569695836979093150364567632084923980533752615109079380709095164971201។ ប​ម្លែង \frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201} និង \frac{1073741824000000000000000000000000000000000000000000000000000000000000000}{3013771792079123197504001394491729024198721873046196628470764090905249} ទៅជាប្រភាគជាមួយភាគបែង 237100481779207569695836979093150364567632084923980533752615109079380709095164971201។

$$\frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}+\frac{84473782801336029413376000000000000000000000000000000000000000000000000000000000000000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}$$

ដោយសារ \frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201} និង \frac{84473782801336029413376000000000000000000000000000000000000000000000000000000000000000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201} មានភាគបែងដូចគ្នា សូមបូកពួកវាដោយការបូកភាគយករបស់ពួកវា។

$$\frac{168381005043207569695836979093150364567632084923980533752615109079380709095164971201000+84473782801336029413376000000000000000000000000000000000000000000000000000000000000000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}$$

បូក 168381005043207569695836979093150364567632084923980533752615109079380709095164971201000 និង 84473782801336029413376000000000000000000000000000000000000000000000000000000000000000 ដើម្បីបាន 252854787844543599109212979093150364567632084923980533752615109079380709095164971201000។

$$\frac{252854787844543599109212979093150364567632084923980533752615109079380709095164971201000}{237100481779207569695836979093150364567632084923980533752615109079380709095164971201}$$