(83!/81!+82!)(40!+41!/42! କୁ ସମାଧାନ କରନ୍ତୁ

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

ମୂଲ୍ୟାୟନ କରିବା

$$2$$

ସମାଧାନ କରିବା ପଦକ୍ଷେପଗୁଡିକ

83 ର ଗୁଣକ ହେଉଛି 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000.

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

81 ର ଗୁଣକ ହେଉଛି 5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000.

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

82 ର ଗୁଣକ ହେଉଛି 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000.

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

481161459722031542828017941220983055749225651312724954575906799126460384914593040669263316342728913059840000000000000000000 ପ୍ରାପ୍ତ କରିବାକୁ 5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000 ଏବଂ 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000 ଯୋଗ କରନ୍ତୁ.

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

82 ପ୍ରାପ୍ତ କରିବାକୁ 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000 କୁ 481161459722031542828017941220983055749225651312724954575906799126460384914593040669263316342728913059840000000000000000000 ଦ୍ୱାରା ବିଭକ୍ତ କରନ୍ତୁ.

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

40 ର ଗୁଣକ ହେଉଛି 815915283247897734345611269596115894272000000000.

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

41 ର ଗୁଣକ ହେଉଛି 33452526613163807108170062053440751665152000000000.

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

34268441896411704842515673323036867559424000000000 ପ୍ରାପ୍ତ କରିବାକୁ 815915283247897734345611269596115894272000000000 ଏବଂ 33452526613163807108170062053440751665152000000000 ଯୋଗ କରନ୍ତୁ.

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

42 ର ଗୁଣକ ହେଉଛି 1405006117752879898543142606244511569936384000000000.

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

34268441896411704842515673323036867559424000000000 ବାହାର କରିବା ଏବଂ ବାତିଲ୍‌ କରିବା ଦ୍ୱାରା ନିମ୍ନତମ ପଦରେ ଅନ୍ତରାଳ \frac{34268441896411704842515673323036867559424000000000}{1405006117752879898543142606244511569936384000000000} ହ୍ରାସ କରନ୍ତୁ.

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

\frac{82}{41} ପ୍ରାପ୍ତ କରିବାକୁ 82 ଏବଂ \frac{1}{41} ଗୁଣନ କରନ୍ତୁ.

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

2 ପ୍ରାପ୍ତ କରିବାକୁ 82 କୁ 41 ଦ୍ୱାରା ବିଭକ୍ତ କରନ୍ତୁ.

$$2$$

ଗୁଣକ

$$2$$