What is my rule if my in number is 2/5 and out is 3/5. The next set of numbers are 1/10 and 3/10. The next set just gives me the in number of 4/5, but not out. Next no in number, but 9/10 as my out and the last one has no in number but 1/2 as my out?

what would happen to your fractions if you changed them all to having a common denominator of 10

4/10 --- 6/10
1/10 --- 3/10

8/10 --- 10/10 or 1
7/10 or 1--- 9/10
13/10 or 1--- 5/10

did you notice that the numerator of the OUT is 2 less than the numerator of the IN ?

I'm so

rry, but I don't understand what you're saying. I understand this method usually, but it's the fractions that are getting me. I just don't understand how you go from 2/5 to 3/5 and then go from 1/10 to 3/10.

To determine the rule or pattern for the given sets of numbers, we need to analyze the relationship between the in numbers and the out numbers. Let's break it down step by step:

Set 1: In = 2/5, Out = 3/5
Set 2: In = 1/10, Out = 3/10
Set 3: In = 4/5, Out = ???
Set 4: No In, Out = 9/10
Set 5: No In, Out = 1/2

Based on the given information, it seems that the rule relates the in number to the out number in some way. To identify the pattern, let's examine the ratios between the in and out numbers in each set:

Set 1: Out/In = 3/5 ÷ 2/5 = 3/2
Set 2: Out/In = 3/10 ÷ 1/10 = 3/1 = 3
Set 3: Out/In = ??? (unknown)
Set 4: Out/In = 9/10 ÷ ?? (no in number) = ?? (indeterminate)
Set 5: Out/In = 1/2 ÷ ?? (no in number) = ?? (indeterminate)

From the given sets, the only consistent pattern we can identify so far is that the ratio between the out and in numbers in each set is consistent. This means the rule can be expressed as a ratio between the out and in numbers.

Continuing this pattern, for Set 3, we can infer that the out number will be three times the in number, since the ratio has been consistent so far. Thus, the out number would be 4/5 × 3 = 12/5.

To summarize, given the available information, the rule or pattern appears to be that the out number is equal to three times the in number.