ដោះស្រាយ 80000*0,08/(1-frac{1{1.08^30})}

$$\frac { 80000 \times 0,08 } { ( 1 - \frac { 1 } { 1.08 ^ { 30 } } ) }$$

វាយតម្លៃ

$$\frac{6982370854470169940713117983581381872033159200}{982575228762413609835679404847596746362603}\approx 7106.194670982$$

ជំហានចម្លើយ

គុណ 80000 និង 0.08 ដើម្បីបាន 6400។

$$\frac{6400}{1-\frac{1}{1.08^{30}}}$$

គណនាស្វ័យគុណ 1.08 នៃ 30 ហើយបាន 10.062656889073430111910396911109936282712980852099973040308224។

$$\frac{6400}{1-\frac{1}{10.062656889073430111910396911109936282712980852099973040308224}}$$

ពង្រីក \frac{1}{10.062656889073430111910396911109936282712980852099973040308224} ដោយគុណទាំងភាគបែង និងភាគយកជាមួយនឹង 1000000000000000000000000000000000000000000000000000000000000។

$$\frac{6400}{1-\frac{1000000000000000000000000000000000000000000000000000000000000}{10062656889073430111910396911109936282712980852099973040308224}}$$

កាត់បន្ថយប្រភាគ \frac{1000000000000000000000000000000000000000000000000000000000000}{10062656889073430111910396911109936282712980852099973040308224} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 1152921504606846976។

$$\frac{6400}{1-\frac{867361737988403547205962240695953369140625}{8727963568087712425891397479476727340041449}}$$

បម្លែង 1 ទៅជាប្រភាគ \frac{8727963568087712425891397479476727340041449}{8727963568087712425891397479476727340041449}។

$$\frac{6400}{\frac{8727963568087712425891397479476727340041449}{8727963568087712425891397479476727340041449}-\frac{867361737988403547205962240695953369140625}{8727963568087712425891397479476727340041449}}$$

ដោយសារ \frac{8727963568087712425891397479476727340041449}{8727963568087712425891397479476727340041449} និង \frac{867361737988403547205962240695953369140625}{8727963568087712425891397479476727340041449} មានភាគបែងដូចគ្នា សូមដកពួកវាដោយការដកភាគយករបស់ពួកវា។

$$\frac{6400}{\frac{8727963568087712425891397479476727340041449-867361737988403547205962240695953369140625}{8727963568087712425891397479476727340041449}}$$

ដក​ 867361737988403547205962240695953369140625 ពី 8727963568087712425891397479476727340041449 ដើម្បីបាន 7860601830099308878685435238780773970900824។

$$\frac{6400}{\frac{7860601830099308878685435238780773970900824}{8727963568087712425891397479476727340041449}}$$

ចែក 6400 នឹង \frac{7860601830099308878685435238780773970900824}{8727963568087712425891397479476727340041449} ដោយការគុណ 6400 នឹងប្រភាគផ្ទុយគ្នានៃ \frac{7860601830099308878685435238780773970900824}{8727963568087712425891397479476727340041449}.

$$6400\times \frac{8727963568087712425891397479476727340041449}{7860601830099308878685435238780773970900824}$$

បង្ហាញ 6400\times \frac{8727963568087712425891397479476727340041449}{7860601830099308878685435238780773970900824} ជាប្រភាគទោល។

$$\frac{6400\times 8727963568087712425891397479476727340041449}{7860601830099308878685435238780773970900824}$$

គុណ 6400 និង 8727963568087712425891397479476727340041449 ដើម្បីបាន 55858966835761359525704943868651054976265273600។

$$\frac{55858966835761359525704943868651054976265273600}{7860601830099308878685435238780773970900824}$$

កាត់បន្ថយប្រភាគ \frac{55858966835761359525704943868651054976265273600}{7860601830099308878685435238780773970900824} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 8។

$$\frac{6982370854470169940713117983581381872033159200}{982575228762413609835679404847596746362603}$$

ដាក់ជាកត្តា

$$\frac{2 ^ {5} \cdot 3 ^ {90} \cdot 5 ^ {2}}{7 \cdot 11 \cdot 13 \cdot 31 \cdot 61 \cdot 97 \cdot 181 \cdot 1151 \cdot 1201 \cdot 2029 \cdot 104491 \cdot 463741 \cdot 217538003281} = 7106\frac{1.9127888445981596 \times 10^{41}}{9.825752287624134 \times 10^{41}} = 7106.194670981784$$