Final answer:
The fraction 30/18 simplified to its simplest form is 5/3. When expressed as a mixed number, it is 1 2/3, which is not an option listed in the question. The correct answer is A) 5/3.
Step-by-step explanation:
To convert the fraction 30/18 into a mixed number, we first simplify it to its simplest form. We do this by finding the greatest common divisor (GCD) of the numerator (30) and the denominator (18), which is 6. Dividing both the numerator and the denominator by 6 gives us the simplified fraction 5/3.
Since the numerator is larger than the denominator, this fraction can be further expressed as a mixed number. To find the mixed number, we divide 5 by 3.
We get 1 with a remainder of 2. This tells us that 5/3 is the same as 1 whole and 2/3 left over. So, the mixed number is 1 2/3.
Therefore, none of the options (A, B, C, D) given is the correct mixed number for 30/18. The correct answer would be: 1 2/3.