As the fractions are of the form x/(x + 2) and x is positive even integer, the numerator of a fraction in the set will be equal to the denominator of the previous fraction and they will cancel each other. hence, the product will be 2/20 = 1/10r2kins wrote:Set K consists of all fractions of the form x/(x+2) where x is a positive even integer less than 20. What is the product of all the fractions in Set K ?
For a more detailed solution, let us write some of the fractions of the set K.
2/4, 4/6, 6/8..., 16/18 and 18/20
Hence, the product of all the fractions = (2/4)*(4/6)*(6/8)*...*(16/18*)(18/20) = 2/20 = 1/10
The correct answer is B.
