Answer:
16/3 or 5 1/3.
Explanation:
To evaluate 8 divided by 3/2, we need to follow the order of operations. The division should be done before any addition or subtraction.
To divide 8 by 3/2, we can think of it as multiplying 8 by the reciprocal of 3/2. The reciprocal of a fraction is found by flipping the numerator and denominator.
So, the reciprocal of 3/2 is 2/3.
Now, we can multiply 8 by 2/3:
8 * 2/3 = (8 * 2) / 3 = 16/3
Therefore, 8 divided by 3/2 is equal to 16/3.
If we want to express the answer as a mixed number, we can divide the numerator (16) by the denominator (3):
16 ÷ 3 = 5 remainder 1
So, the mixed number representation of 16/3 is 5 1/3.
In summary, when we evaluate 8 divided by 3/2, the answer is 16/3 or 5 1/3.