1/2012*(1-1/2013)*(1-1/2014)*(1-1/2015)*(1-frac{1}{2016})*(1-frac{1}{2017}) eching

$$\frac { 1 } { 2012 } \times ( 1 - \frac { 1 } { 2013 } ) \times ( 1 - \frac { 1 } { 2014 } ) \times ( 1 - \frac { 1 } { 2015 } ) \times ( 1 - \frac { 1 } { 2016 } ) \times ( 1 - \frac { 1 } { 2017 } )$$

Baholash

$$\frac{1}{2017}\approx 0,000495786$$

Yechim qadamlari

1 ni \frac{2013}{2013} kasrga o‘giring.

$$\frac{1}{2012}\left(\frac{2013}{2013}-\frac{1}{2013}\right)\left(1-\frac{1}{2014}\right)\left(1-\frac{1}{2015}\right)\left(1-\frac{1}{2016}\right)\left(1-\frac{1}{2017}\right)$$

\frac{2013}{2013} va \frac{1}{2013} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{2012}\times \frac{2013-1}{2013}\left(1-\frac{1}{2014}\right)\left(1-\frac{1}{2015}\right)\left(1-\frac{1}{2016}\right)\left(1-\frac{1}{2017}\right)$$

2012 olish uchun 2013 dan 1 ni ayirish.

$$\frac{1}{2012}\times \frac{2012}{2013}\left(1-\frac{1}{2014}\right)\left(1-\frac{1}{2015}\right)\left(1-\frac{1}{2016}\right)\left(1-\frac{1}{2017}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2012} ni \frac{2012}{2013} ga ko‘paytiring.

$$\frac{1\times 2012}{2012\times 2013}\left(1-\frac{1}{2014}\right)\left(1-\frac{1}{2015}\right)\left(1-\frac{1}{2016}\right)\left(1-\frac{1}{2017}\right)$$

Surat va maxrajdagi ikkala 2012 ni qisqartiring.

$$\frac{1}{2013}\left(1-\frac{1}{2014}\right)\left(1-\frac{1}{2015}\right)\left(1-\frac{1}{2016}\right)\left(1-\frac{1}{2017}\right)$$

1 ni \frac{2014}{2014} kasrga o‘giring.

$$\frac{1}{2013}\left(\frac{2014}{2014}-\frac{1}{2014}\right)\left(1-\frac{1}{2015}\right)\left(1-\frac{1}{2016}\right)\left(1-\frac{1}{2017}\right)$$

\frac{2014}{2014} va \frac{1}{2014} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{2013}\times \frac{2014-1}{2014}\left(1-\frac{1}{2015}\right)\left(1-\frac{1}{2016}\right)\left(1-\frac{1}{2017}\right)$$

2013 olish uchun 2014 dan 1 ni ayirish.

$$\frac{1}{2013}\times \frac{2013}{2014}\left(1-\frac{1}{2015}\right)\left(1-\frac{1}{2016}\right)\left(1-\frac{1}{2017}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2013} ni \frac{2013}{2014} ga ko‘paytiring.

$$\frac{1\times 2013}{2013\times 2014}\left(1-\frac{1}{2015}\right)\left(1-\frac{1}{2016}\right)\left(1-\frac{1}{2017}\right)$$

Surat va maxrajdagi ikkala 2013 ni qisqartiring.

$$\frac{1}{2014}\left(1-\frac{1}{2015}\right)\left(1-\frac{1}{2016}\right)\left(1-\frac{1}{2017}\right)$$

1 ni \frac{2015}{2015} kasrga o‘giring.

$$\frac{1}{2014}\left(\frac{2015}{2015}-\frac{1}{2015}\right)\left(1-\frac{1}{2016}\right)\left(1-\frac{1}{2017}\right)$$

\frac{2015}{2015} va \frac{1}{2015} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{2014}\times \frac{2015-1}{2015}\left(1-\frac{1}{2016}\right)\left(1-\frac{1}{2017}\right)$$

2014 olish uchun 2015 dan 1 ni ayirish.

$$\frac{1}{2014}\times \frac{2014}{2015}\left(1-\frac{1}{2016}\right)\left(1-\frac{1}{2017}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2014} ni \frac{2014}{2015} ga ko‘paytiring.

$$\frac{1\times 2014}{2014\times 2015}\left(1-\frac{1}{2016}\right)\left(1-\frac{1}{2017}\right)$$

Surat va maxrajdagi ikkala 2014 ni qisqartiring.

$$\frac{1}{2015}\left(1-\frac{1}{2016}\right)\left(1-\frac{1}{2017}\right)$$

1 ni \frac{2016}{2016} kasrga o‘giring.

$$\frac{1}{2015}\left(\frac{2016}{2016}-\frac{1}{2016}\right)\left(1-\frac{1}{2017}\right)$$

\frac{2016}{2016} va \frac{1}{2016} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{2015}\times \frac{2016-1}{2016}\left(1-\frac{1}{2017}\right)$$

2015 olish uchun 2016 dan 1 ni ayirish.

$$\frac{1}{2015}\times \frac{2015}{2016}\left(1-\frac{1}{2017}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2015} ni \frac{2015}{2016} ga ko‘paytiring.

$$\frac{1\times 2015}{2015\times 2016}\left(1-\frac{1}{2017}\right)$$

Surat va maxrajdagi ikkala 2015 ni qisqartiring.

$$\frac{1}{2016}\left(1-\frac{1}{2017}\right)$$

1 ni \frac{2017}{2017} kasrga o‘giring.

$$\frac{1}{2016}\left(\frac{2017}{2017}-\frac{1}{2017}\right)$$

\frac{2017}{2017} va \frac{1}{2017} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{2016}\times \frac{2017-1}{2017}$$

2016 olish uchun 2017 dan 1 ni ayirish.

$$\frac{1}{2016}\times \frac{2016}{2017}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2016} ni \frac{2016}{2017} ga ko‘paytiring.

$$\frac{1\times 2016}{2016\times 2017}$$

Surat va maxrajdagi ikkala 2016 ni qisqartiring.

$$\frac{1}{2017}$$

Omil

$$\frac{1}{2017} = 0,0004957858205255329$$