In this problem, we have an improper fraction and a whole number. In order to find the difference between the whole number and the improper fraction, we will make the whole number an improper fraction.
To do this, we will need to make sure that the denominators of each term mach. The denominator of our improper fraction is 4, so we will use that as our denominator for the improper fraction to represent 5.
To turn 5 into an improper fraction, we will first multiple 5 by our chosen denominator, which is 4.
5*4=20
Now, we write an improper fraction with 20 as the numerator and 4 as the denominator.
20/4
Now, we can find the difference between 20/4 and 17/4.
Since the denominators of the two terms are the same, all we need to do is subtract the numerators from each other.
20-17=3
Now, we will create a fraction with 3 as the numerator and 4 as the denominator.
3/4
Now we can check our solution:
17/4 +3/4 = 20/4
Remember that 20/4 is equal to five.
17/4 +3/4 = 5
The solution is 3/4.
