This is for my daughter who was given summer homework and I don't know how to help her please. the difference between two mixed numbers is 3 1/4 .what might the two mixed numbers be?show as Manny solutions as you can.

Thank you .

it could be a looong summer...

there are an infinite number of solutions

if n and m are the numbers
... n - m = 3¼ , or , n = m + 3¼

m can be ANY mixed number

Ask your daughter to pick any number. It could be a whole number or a mixed number.

Add 3 1/4 to the number. You now have two numbers with a difference of 3 1/4.

To find the two mixed numbers that differ by 3 1/4, we can use a trial and error approach. Here's how you can help your daughter:

1. Start by considering two mixed numbers. Let's say the first mixed number is A, and the second mixed number is B. Both A and B will have a whole number part and a fraction part.

2. Now subtract B from A: A - B. The result should be 3 1/4.

3. Start with a reasonable value for A, such as 4. This means the first mixed number is 4 and can be written as 4 0/1.

4. Next, try different values for B, keeping in mind that the fraction part of B must be smaller than that of A.

To illustrate this process, let's try a few examples:

Example 1:
A = 4
B = 2 3/4

4 0/1 - 2 3/4 = 1 3/4 ≠ 3 1/4

This is not the correct solution because the difference is not equal to 3 1/4.

Example 2:
A = 4
B = 1 3/4

4 0/1 - 1 3/4 = 2 1/4 ≠ 3 1/4

Again, this is not the correct solution.

Continue trying different values for B until you find the correct pair. Remember that the fraction part of B must be less than the fraction part of A. There can be multiple correct solutions, so encourage your daughter to keep trying different values until she finds a combination that gives the desired difference of 3 1/4.

Here's one correct solution based on the process described:

A = 4 0/1
B = 0 3/4

4 0/1 - 0 3/4 = 3 1/4

So, one possible solution is A = 4 and B = 0 3/4. There may be other combinations that work as well.