Final answer:
To find the other number, set up an equation with the given information and solve for x.
Step-by-step explanation:
To find the other number, we can set up an equation since we are given that the product of the two rational numbers is 47/42. Let the other number be x. We can write the equation as:
11/21 * x = 47/42
To solve for x, we can multiply both sides of the equation by the reciprocal of 11/21, which is 21/11. This gives us:
x = (47/42) * (21/11)
Now, we can simplify the expression and find the value of x:
x = (47 * 21) / (42 * 11) = 987/462
Therefore, the other number is 987/462, which can be simplified to 7/6.