subtract the following rename if necessary.7 1/2-5 3/4=

I think the answer is 1.75.

why the decimals? We're practicing mixed numbers here

7 1/2 - 5 3/4
= 6 6/4 - 5 3/4
= 1 3/4

To subtract 7 1/2 from 5 3/4, you need to make sure both numbers have the same denominator. Here's how you can rename the fractions if necessary and calculate the subtraction:

Step 1: Find a common denominator.
The denominators in this case are 2 and 4. The smallest common multiple of 2 and 4 is 4, so we will use 4 as the common denominator.

Step 2: Rename the fractions using the common denominator.
To change 7 1/2 to have a denominator of 4, we multiply both the numerator and denominator of 1/2 by 2. This gives us 7 2/4.
To change 5 3/4 to have a denominator of 4, we don't need to change anything since its denominator is already 4.

Step 3: Subtract the fractions.
Now that both fractions have the same denominator, we can subtract:

(7 2/4) - (5 3/4)
= (7 - 5) + (2/4 - 3/4)
= 2 - 1/4
= 1 3/4

So, 7 1/2 - 5 3/4 equals 1 3/4.