if a, b, and c are pos. integers in a+(1/(b+1/c))=29/13, find value of b.

[demens]

if a, b, and c are positive integers in the equation:
a+(1/(b+1/c))=29/13
what is the value of b

I have tried to isolate the variables, but I just can't figure out how to accurately work this problem.
please help.

 

[stapel]

if a, b, and c are positive integers in the equation:
a+(1/(b+1/c))=29/13
what is the value of b

I have tried to isolate the variables, but I just can't figure out how to accurately work this problem.
please help.

Please reply showing your work, starting from converting the left-hand side to a common denominator. Given that 29 = 2(13) + 3, where did this lead?

Please be complete. Thank you!

 

[demens]

Do you mean what is the value of b in terms of a and c?

1/(b+1/c): should that be 1/((b+1)/c)?

No, they are asking for an integer value of b.
It's 1 over the quantity of b + (1/c)
Showing any work I did won't help Because my approach was way off.

 

[demens]

Do you mean what is the value of b in terms of a and c?

1/(b+1/c): should that be 1/((b+1)/c)?

No. They want a numerical value for b. It 1/(b+(1/c))
I've been trying to simplify the expression but it just doesn't make sense.

 

[stapel]

No. They want a numerical value for b. It 1/(b+(1/c))
I've been trying to simplify the expression but it just doesn't make sense.

What did you do with the specific steps and the hint I'd provided (which lead directly to the numerical answer)?

Please reply showing all of your steps. Thank you!