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Course: Arithmetic (all content) > Unit 5
Lesson 12: Mixed numbers Writing mixed numbers as improper fractions
 Writing improper fractions as mixed numbers
 Write mixed numbers and improper fractions
 Comparing improper fractions and mixed numbers
 Mixed numbers and improper fractions review
 Compare fractions and mixed numbers
 Mixed number or improper fraction on a number line
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Mixed number or improper fraction on a number line
Fraction or mixed number...either way you should end up on the same spot on the number line. Give it a try with us. Created by Sal Khan.
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 What do you mean about the 11/5 one? What if it is three lines on the number line?(2 votes)
 is there a different way to do this not in a computer,paper and mind?(2 votes)
 How did you decide to put 3 as the ending mark on the number line(2 votes)
 do you have to change the improper to a mixed number.(2 votes)
 At0:37, Sal explains both ways to view it so yeah(3 votes)
 how do you do 5 by 1 in the number line(2 votes)
 its just normal 5 because a whole number represented as a fraction would result in one as the denominator causing 5 to be as a whole since it is 5/1(1 vote)
 I don't understand this!(2 votes)
 what don't you understand? a certain thing he said or a certain thing he tried to explain?(1 vote)
 How can you plot 1 3/4 as 1 6/8? I am very confused.(1 vote)
 this video does not work(1 vote)
 watch it again or watch other videos related to this topic since, it didn't work?(1 vote)
 Locate and label the following fractions 20/4, 13/4, and 23/4 on the number line(1 vote)
 I understand fraction solving, but I still don't get how to tell where to place the dot using the fraction 9/4, someone help me please.(1 vote)
 Well fractions on the number line are some fractional distance between two whole numbers. If you have the fraction 9/4, turning that into a mixed number is 2 1/4, the whole number part is 2, so the dot will be in between 2 and 3, since there is fraction. The fraction is 1/4 so there will 3 dots in between the 2 and 3,
2 9 3

4
* * * * *
Notice the way I put the 3 dots in between the 2 and 3? That causes there to be 4 spaces in between all the dots, so the 1/4 means moving to the dot that is one space to the right of 2.(1 vote)
Video transcript
Move the orange dot to
9/4 on the number line. Let's think about this
number line right here. This is 0. This is 3. So this must be 1 and 2. We need to go to 9/4. So there's two ways
of thinking about 9/4. One way is to try to convert
it to a mixed number. 4 goes into 9 two times. And you'll have 1 left over. So this you could
do as 2 and 1/4. So you could say, this is 1, 2. And then, we have to go 1/4
of the way between 2 and 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 1/4's. 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 8/4 to 9/4. Either way, we get to that exact
same point on the number line. Let's do a few more of these. Move the orange dot to
11/5 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 we could go 1,
2, and then 1/5. Or we could just
think of it in terms of 1/5's as an
improper fraction. 1/5, 2/5, 3/5, 4/5, 5/5 is
a whole, 6/5, 7/5, 8/5, 9/5, 10/5. 10 divided by 5 is 2. 10/5 is two wholes. 10/5 and 11/5
I'm having more fun than I expected to
with this exercise. Let's do one more. Orange dot to 5/2
on the number line. So this is 1/2. This is 2/2, which is a whole. This is 3/2. This is 4/2, which
is two wholes. This is 5/2. Another way you could
have thought about it 2 goes into 5 two times
with a remainder 1. So this is 2 and 1/2
as a mixed number 1, 2, and 1/2 as a mixed number.