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### 23 Answers

- 3 years ago
Gotta change 5 3/4 to an improper fraction first

4×5+3= 20+3=23 use the 4 as the new denominator & 23 as the new numerator.

23/4 × 1/2 = 23/8 to get 23/8 multiply 23 × 1 (numerators) & 4 × 2 (the denominators)

23/8 is of course an improper fraction so

23÷8= 2 you basically simplified it into a mixed number to get a whole number!

The fractional part of the mixed number is found by using the remainder of the division, which in this case is 7 (23 divided by 8 is 2 remainder 7).

Answer = 2 7/8

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- Anonymous3 years ago
There are many ways to reach the same answer, because truth is always the same, no matter how we approach to revealing it. So, here is yet another method of finding the answer:

5 3/4 means 5 & 3/4, or 5 + 3/4.

Therefore, half of 5 3/4 means half of both 5 & 3/4, or half of the entire "5 + 3/4"

That, in turn, means 2 & 1/2 & 3/8, otherwise known as 2 + 1/2 + 3/8.

Using the common denominator of 8, we can rewrite the equivalent of it as 2 + 4/8 + 3/8.

That is the same as 2 + 7/8, or as everyone has been saying:

2 7/8 !!!

Source(s): I've taught Math in a high school.- Login to reply the answers

- 3 years ago
2 7/8. This is a lowest common denominator exercise. Half of 5 is 2.1/2, or 2 4/8. Half of 3/4 is 3/8. add them together and get 2 7/8.

The take home lesson here is, you can always multiply by one, which can be expressed as any number over itself, without changing the value. 5 3/4 = 23/4. times 2/2 (another way of saying one) = 46/8. half of that is 23/8, which simplifies to 2 7/8.

- Mureen3 years agoReport
Please, explain in more detail how you arrive @ this answer..thanks.I do understand that half of 5 is 2 1/2.What I do not understand your calculation on 3/4.please explain

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- 3 years ago
First you convert it into an improper fraction.

5 3/4 = ((5*4)+3)/4 = (20+3)/5 = 23/4

Then divide it by two to half it

23/4 * 1/2 = 23/8

Then convert it into mixed fraction

23/8 = 2 7/8

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- 3 years ago
5 3/4

Step 1: 5*4 = 20

Step 2: 20+3 = 23

Step 3: 23/4

Step 4: (23/4) / 2 = 23/8

Step 5: 23/8 = 2 7/8 = 2.875

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