Final answer:
The next four multiples of 5/6 are 10/6 or 1 2/3, 15/6 or 2 1/2, 20/6 or 3 1/3, and 25/6 or 4 1/6.
Step-by-step explanation:
To list the next four multiples of the fraction 5/6, we will multiply the fraction by whole numbers, starting from 2 because the first multiple (which is the number itself when multiplied by 1) is already given. Recall that in mathematics, multiples of a number are found by multiplying the number by an integer. Hence, the next four multiples of 5/6 are:
- 10/6 or 1 2/3 (5/6 x 2)
- 15/6 or 2 1/2 (5/6 x 3)
- 20/6 or 3 1/3 (5/6 x 4)
- 25/6 or 4 1/6 (5/6 x 5)
These multiples are simply the original fraction 5/6 multiplied by the counting numbers 2, 3, 4, and 5.