Question

How many 2/5 are there in 4?

Answer 1

Answer:

We want to end up with five fifths, also known as 5/5, because 5/5 is the same as 1. How do I know that 5/5 is the same as 1? Well, I know (you'll just have to trust me on this) because saying “5/5” is the same as saying “5 divided by 5”, and saying “1/2” is the same as saying “1 divided by 2", and so on. This is true for all fractions.

So: if 5/5 is the same as 5 divided by 5, then 5/5 equals 1. (You can see why, right? Any number divided into itself is equal to one; also, five goes into five exactly one time!).

And counting the fifths,

1/5 + 1/5 + 1/5 + 1/5 + 1/5 = 5/5 = 1

Or, to count them another way,

1/5 + 1/5 = 2/5

2/5 + 1/5 = 3/5

3/5 + 1/5 = 4/5

4/5 + 1/5 = 5/5

Now that we can see what's inside of that 5/5, let's count how many two-fifths are in five-fifths by adding 2/5 together until we get as close to 5/5 as possible without going over:

2/5 + 2/5 = 4/5

leaving just 1/5 remainder, meaning that there are two 2/5 in 5/5.

We can see that that is true and correct by looking at our little counting exercise above.

Now to make sure our reasoning is clear let's count our fifths again, this time slightly rearranging the way we write the numbers, and then taking things one step further:

(1/5 + 1/5) + (1/5 + 1/5) + 1/5 = 5/5

(2/5) + (2/5) + (1/5) = 5/5

And there it is: there are two 2/5 in 1!

So let's complete the addition for the sake of those like myself who need to see these things through to their furthest conclusion:

(2/5) + (2/5) + (1/5) = 5/5

4/5 + 1/5 = 5/5

5/5 = 5/5

5/5 = 1

1 = 1

Answer 2

Answer:

For this case what we must do is a division using the following relationship:

N = (total amount) / (partial amount)N=(totalamount)/(partialamount) Substituting values we have:

N = (4) / (2/5)N=(4)/(2/5)

Rewriting the fraction we have:

N = (20) / (2)N=(20)/(2)

Simplifying we have:

N = 10N=10

Answer:

The number of times repeated 2/5 for 4 is:

10