(83!/81!+82!)(40!+41!/42! eching

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

Baholash

$$2$$

Yechim qadamlari

83 ning faktoriali 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000 ga teng.

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

81 ning faktoriali 5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000 ga teng.

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

82 ning faktoriali 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000 ga teng.

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

481161459722031542828017941220983055749225651312724954575906799126460384914593040669263316342728913059840000000000000000000 olish uchun 5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000 va 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000'ni qo'shing.

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

82 ni olish uchun 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000 ni 481161459722031542828017941220983055749225651312724954575906799126460384914593040669263316342728913059840000000000000000000 ga bo‘ling.

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

40 ning faktoriali 815915283247897734345611269596115894272000000000 ga teng.

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

41 ning faktoriali 33452526613163807108170062053440751665152000000000 ga teng.

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

34268441896411704842515673323036867559424000000000 olish uchun 815915283247897734345611269596115894272000000000 va 33452526613163807108170062053440751665152000000000'ni qo'shing.

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

42 ning faktoriali 1405006117752879898543142606244511569936384000000000 ga teng.

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

\frac{34268441896411704842515673323036867559424000000000}{1405006117752879898543142606244511569936384000000000} ulushini 34268441896411704842515673323036867559424000000000 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\frac{82}{41} hosil qilish uchun 82 va \frac{1}{41} ni ko'paytirish.

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

2 ni olish uchun 82 ni 41 ga bo‘ling.

$$2$$

Omil

$$2$$