If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

# Mixed number or improper fraction on a number line

## Video transcript

move the orange dot to 9/4 on the number lines let's think about this number line right here this is 0 this is 3 so this must be 1 & 2 we need to go to 9 forts so there's two ways of thinking about 9 4 it's one way is to try to convert it to a mixed number 4 goes into 9 2 times and you'll have 1 left over so this you could use 2 and 1/4 so you could say this is 2 or this is 1 2 and then we have to go 1/4 of the way between 2 & 3 so that looks like about 2 and 1/4 so you could think about it that way or you could even view it as an improper fraction so let's go by fourths so that's 1/4 2/4 3/4 4/4 which is a whole 5/4 6/4 7/4 8/4 which is equal to 2 wholes 8 divided by 4 is 2 and then we go from 8 forts to 9 4 it's either way we get to the exact same point on the number line let's do a few more of these move the orange dot to eleven fifths on the number line so we can do it both ways again 5 goes into 11 two times and then you have 1 left over so you could call this 2 and 1/5 so you could go one two and then 1/5 or we could just think of it in terms of fifths as an improper fraction 1/5 2/5 3/5 4/5 5/5 as a whole 6/5 7/5 8/5 9 fifths 10 fifths 10 divided by 5 is 2 10 fifths is 2 wholes 10 fifths and eleven fifths I'm having more fun than I expected too with this exercise let's do one more orange dot 2 5 halves on the number line so this is one half this is two halves which is the whole this is three halves this is four halves which is two wholes this is 5 halves another way you could have thought about it 2 goes into 5 2 times with a remainder 1 so this is 2 and 1/2 as a mixed number 1 2 and 1/2 as next number