# mathematics

posted by .

4 distinct integers p, q, r and s are chosen from the set {1,2,3,…,16,17}. The minimum possible value of p/q+r/s can be written as ab, where a and b are positive, coprime integers. What is the value of a+b?

## Similar Questions

1. ### Math

Let S(n) denote the sum of digits of the integer n. Over all positive integers, the minimum and maximum values of S(n)/S(5n) are X and Y, respectively. The value of X+Y can be written as a/b , where a and b are coprime positive integers. …
2. ### Trigonometry

Let S be the sum of all the possible values of sin x that satisfy the following equation: 5-2cos^2(x)-7sin(x) = 0 S can be written as a/b, where a and b are coprime positive integers. What is the value of a + b?
3. ### Algebra

Joe picks 2 distinct numbers from the set of the first 14 positive integers S = \{1,2,3,\ldots,14\}. The probability that the sum of the 2 numbers is divisible by 3 can be expressed as \frac{a}{b}, where a and b are coprime positive …
4. ### mathematics

Suppose f(x) is a degree 8 polynomial such that f(2^i)=1/2^i for all integers 0≤i≤8. If f(0)=a/b, where a and b are coprime positive integers, what is the value of a+b?
5. ### Maths!!!

4 distinct integers p, q, r and s are chosen from the set {1,2,3,…,16,17}. The minimum possible value of (p/q)+(r/s) can be written as a/b, where a and b are positive, coprime integers. What is the value of a+b?
6. ### MAths

4 distinct integers p, q, r and s are chosen from the set {1,2,3,…,16,17}. The minimum possible value of p/q+r/s can be written as a/b, where a and b are positive, coprime integers. What is the value of a+b?
7. ### Math(combinations) Help

Let Pn be the set of all subsets of the set [n]={1,2,…,n}. If two elements of P5 are chosen at random, the expected number of elements (of [n]) that they have in common can be expressed as a/b where a and b are coprime positive integers. …
8. ### math

Let Pn be the set of all subsets of the set [n]={1,2,…,n}. If two distinct elements of P5 are chosen at random, the expected number of elements (of [n]) that they have in common can be expressed as a/b where a and b are coprime positive …
9. ### Mathematics

Let x,y,z be non-negative real numbers satisfying the condition x+y+z=1. The maximum possible value of x^3y^3+y^3z^3+z^3x^3 has the form a/b where a and b are positive, coprime integers. What is the value of a+b?