Final answer:
There are 8 full halves in the fraction 38/9, which is determined by multiplying the fraction by 2, the reciprocal of one-half, to find the number of full halves.
Step-by-step explanation:
To determine how many halves are in the fraction 38/9, you can think of dividing 38 by the value of one half, which is the same as multiplying by 2 since one half is equivalent to 2/2 or 1 when expressed as a fraction. Therefore:
38/9 × 2/1 = 76/9
This quotient represents the number of halves in 38/9. Since we are dealing with a division of whole numbers, we should examine both the whole number quotient and the remainder. Dividing 76 by 9 gives:
76 ÷ 9 = 8 R 4
Thus, there are 8 whole halves in 38/9, with a remainder part of a half left over. Specifically, this remainder is 4/9 of a half, which does not constitute a full half and is therefore not counted as one.
In conclusion, there are 8 full halves contained within the fraction 38/9. This concept is similar to understanding that one pie can be split into two halves, and our result tells us how many complete 'pies' (halves, in this case) we can get from a larger fraction.