For any integer k greater than 1, the symbol k * denotes the product of all the fractions of the form 1/t, where t is an integer between 1 and k, inclusive. What is the value of 5*/4*?

1/5

Step-by-step explanation:

If k * denotes the product of all the fractions of the form 1/t, where t is an integer between 1 and k inclusive. Inclusive means 1 and k values will be included as the integers.

To get value of 5*;

Since 5 is greater than 1, the fraction in form if 1/t where t is the integer between 1 and 5 inclusive are;

1/1, 1/2, 1/3, 1/4 and 1/5 since 1,2,3,4 and 5 are the values between 1 and 5 "inclusive"

5 * will be the product of this fractions i. e 1*1/2*1/3*1/4*1/5 = 1/120

Similarly for 4*;

the fraction in form if 1/t where t is the integer between 1 and 4 inclusive are;

1/1, 1/2,1/3 and 1/4 since 1,2,3 and 4 are the values between 1 and 4 "inclusive"

4 * value will be the product of this fractions i. e 1 * 1/2*1/3 * 1/4 = 1/24

5*/4 * = (1/120) / (1/24)

5*/4 * = 1/120*24/1

5*/4 * = 1/5