43/30=a+1/(b+1/(c+1/d) a+b+c+d=? a,b,c,d natural numbers. How to solve this quickly and logically?

43/30=a+1/(b+1/(c+1/d) a+b+c+d=? a,b,c,d natural numbers. How to solve this quickly and logically?

If a, b and c are positive integers such that 1a+1b+1c+12=1623 then what is the mean of a,b and c?
If a, b and c are positive integers such that (1)/(a+(1)/(b+(1)/(c+(1)/(2))))=(16)/(23) then what is the mean of a,b and c?
If a+1/b+1/c+1/d=37 /13 find a,b,c,d they are all integers

1/a+1/b+1/c+1/d=17/60 find a+b+c+d
if a b c are positive real numbers such that a+b+c=1 then the least value of 1/ab+1/bc+1/ac
45 53 1 a 1 b 1 c 2 5
1a + 1/(b + 1/(c + 1/d)) = 17/60
(1)/(a+(1)/(b+(1)/(c)))=(9)/(26) find a+b+c=

#FractionTest #maths #logical

[lakshya__gupta]

Of which book & chapter this question is??