Question

If p, q and r are positive integers and p + 1 ⁄ (q + (1 / r)) = 129/31 then what is the value of p + q + r?

A. 15 B. 26 C. 31 D. 129 E. 160

Answer 1

we have that
p + 1 ⁄ (q + (1 / r)) = 129/31

we know that
129/31----------> is equal to (4+5/31)
(4+5/31)------> 4+1/31/5
4+1/31/5----> 4+1/(5+(1/6))
By comparing
p=4
q=5
r=6
so
p+q+r-----> 4+5+6----> 15

the answer is the option
A. 15