Whakaoti i te (83!/81!+82!)(40!+41!/42!

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

Aromātai

$$2$$

Ngā Upane Otinga

Ko te huarea o 83 ko 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000.

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

Ko te huarea o 81 ko 5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000.

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

Ko te huarea o 82 ko 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000.

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

Tāpirihia te 5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000 ki te 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000, ka 481161459722031542828017941220983055749225651312724954575906799126460384914593040669263316342728913059840000000000000000000.

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

Whakawehea te 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000 ki te 481161459722031542828017941220983055749225651312724954575906799126460384914593040669263316342728913059840000000000000000000, kia riro ko 82.

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

Ko te huarea o 40 ko 815915283247897734345611269596115894272000000000.

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

Ko te huarea o 41 ko 33452526613163807108170062053440751665152000000000.

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

Tāpirihia te 815915283247897734345611269596115894272000000000 ki te 33452526613163807108170062053440751665152000000000, ka 34268441896411704842515673323036867559424000000000.

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

Ko te huarea o 42 ko 1405006117752879898543142606244511569936384000000000.

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

Whakahekea te hautanga \frac{34268441896411704842515673323036867559424000000000}{1405006117752879898543142606244511569936384000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 34268441896411704842515673323036867559424000000000.

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

Whakareatia te 82 ki te \frac{1}{41}, ka \frac{82}{41}.

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

Whakawehea te 82 ki te 41, kia riro ko 2.

$$2$$

Tauwehe

$$2$$