Question

What is the difference of the whole number and the improper fraction below? 7/2 -1 A. 2 1/2 B. 3 1/3 C. 2 1/2 D. 3 1/2

Answer 1

The difference of the whole number and the improper fraction is 2 1/2, so the correct options are A and C.

Step-by-step explanation:

To find the difference between the whole number and the improper fraction given in the question (7/2 - 1), follow these steps:

1. First, let's express the whole number 1 as a fraction with the same denominator as the improper fraction.

Since the denominator of 7/2 is 2, we convert 1 into a fraction with a denominator of 2.

To do this, we multiply the numerator and the denominator of 1 by 2:


`\(1 = (1)/(1) * (2)/(2) = (2)/(2)\)`

2. Now, we subtract this fraction from the improper fraction:


`\( (7)/(2) - (2)/(2) \)`

3. Perform the subtraction by subtracting the numerators and keeping the common denominator:


`\( (7 - 2)/(2) = (5)/(2) \)`

4. The result
`\((5)/(2)\)` is an improper fraction. To express this as a mixed number, we divide the numerator by the denominator to get the whole number part and the remainder will be the fractional part:


`\(5 / 2 = 2\)` with a remainder of 1.

5. The mixed number representation of the improper fraction
`\((5)/(2)\)` is therefore
`\(2 (1)/(2)\)` or 2 and 1/2.

Now let's compare our answer with the given options:

A. 2 1/2
B. 3 1/3
C. 2 1/2
D. 3 1/2

Our answer, 2 and 1/2, matches options A and C.

Therefore, the correct answer is either 'A' or 'C', as both represent the mixed number 2 and 1/2. (Note that the presence of two identical options is likely a mistake in the question, but regardless, 2 and 1/2 is the difference we're looking for.)