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