991/9100/9999/999999/100frac{101}{99} eching

$$99 \frac { 1 } { 9 } \frac { 100 } { 99 } \frac { 99 } { 99 } 99 \frac { 99 } { 100 } \frac { 101 } { 99 }$$

Baholash

$$\frac{9099292}{891}\approx 10212,448933782$$

Yechim qadamlari

1 ni olish uchun 99 ni 99 ga bo‘ling.

$$\frac{99\times 9+1}{9}\times \frac{100}{99}\times 1\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

891 hosil qilish uchun 99 va 9 ni ko'paytirish.

$$\frac{891+1}{9}\times \frac{100}{99}\times 1\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

892 olish uchun 891 va 1'ni qo'shing.

$$\frac{892}{9}\times \frac{100}{99}\times 1\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{892}{9} ni \frac{100}{99} ga ko‘paytiring.

$$\frac{892\times 100}{9\times 99}\times 1\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

\frac{892\times 100}{9\times 99} kasridagi ko‘paytirishlarni bajaring.

$$\frac{89200}{891}\times 1\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

\frac{89200}{891} hosil qilish uchun \frac{89200}{891} va 1 ni ko'paytirish.

$$\frac{89200}{891}\times \frac{99\times 100+99}{100}\times \frac{101}{99}$$

9900 hosil qilish uchun 99 va 100 ni ko'paytirish.

$$\frac{89200}{891}\times \frac{9900+99}{100}\times \frac{101}{99}$$

9999 olish uchun 9900 va 99'ni qo'shing.

$$\frac{89200}{891}\times \frac{9999}{100}\times \frac{101}{99}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{89200}{891} ni \frac{9999}{100} ga ko‘paytiring.

$$\frac{89200\times 9999}{891\times 100}\times \frac{101}{99}$$

\frac{89200\times 9999}{891\times 100} kasridagi ko‘paytirishlarni bajaring.

$$\frac{891910800}{89100}\times \frac{101}{99}$$

\frac{891910800}{89100} ulushini 9900 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{90092}{9}\times \frac{101}{99}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{90092}{9} ni \frac{101}{99} ga ko‘paytiring.

$$\frac{90092\times 101}{9\times 99}$$

\frac{90092\times 101}{9\times 99} kasridagi ko‘paytirishlarni bajaring.

$$\frac{9099292}{891}$$

Omil

$$\frac{2 ^ {2} \cdot 101 ^ {2} \cdot 223}{3 ^ {4} \cdot 11} = 10212\frac{400}{891} = 10212,448933782267$$