Question

Vale of 1+1/(1+(1/1+1/9)))

Answer 1

Given : 1+1/(1+(1/(1+1/9)))

To Find :  Value

Solution:

1+1/(1+(1/(1+1/9)))

= 1+1/(1+(1/(1+1/9)))

= 1+1/(1+(1/(10/9)))

= 1+1/(1+(9/10))

= 1+1/(1+ 9/10 )

= 1+1/(19/10 )

= 1 + 10/19

= 29/19

Value of 1+1/(1+(1/(1+1/9))) = 29/19

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