Final answer:
To find the different values of x that will make 10/48 a whole number, we can find the common factors of the numerator and denominator. In this case, there are only 2 different values of x that satisfy this condition.
Step-by-step explanation:
To determine how many different values of x will make 10/48 a whole number, we need to find the factors of the numerator (10) and the denominator (48). The factors of 10 are 1, 2, 5, and 10. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
We can see that the only values of x that will make 10/48 a whole number are those that have a common factor with both 10 and 48. In this case, the only common factors are 1 and 2. Therefore, there are only 2 different values of x (1 and 2) that will make 10/48 a whole number.
Learn more about Finding common factors to determine whole numbers