Final answer:
To find the difference between the fractions -2(1/2) and -1(3/4), convert them to improper fractions, find a common denominator, and subtract them. The difference is -3/4.
Step-by-step explanation:
To find the difference between the fractions -2(1/2) and -1(3/4), we can use equivalent fractions and a number line to help us visualize the problem. First, let's convert -2(1/2) to an improper fraction, which is -5/2. Next, change -1(3/4) to an improper fraction, which is -7/4. To subtract the fractions, we need to find a common denominator. The common denominator for 2 and 4 is 4. So, -5/2 becomes -10/4 and -7/4 remains the same. Subtracting -7/4 from -10/4 gives us a difference of -3/4. Therefore, the answer is option C) -3/4.