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### Course: 4th grade > Unit 8

Lesson 6: Adding and subtracting mixed numbers word problems# Subtracting mixed numbers with like denominators word problem

Sal solves a word problem involving mixed number subtraction by using a visual model.

## Want to join the conversation?

- You don't need yo use the number line you can just add the numerator (っ °Д °;)っ(7 votes)
- I don´t under stand. Can you be a little more specific?(1 vote)
- In this video, Sal is solving a word problem by subtracting a mixed number from another fraction. He starts with a table of values that Lily found when she measured the depth of three different puddles.

Sal wants to find out how much deeper the puddle under the swing (the last one listed in the table) than the puddle on the sidewalk (the middle one listed in the table).

At about @1:15, Sal starts converting the mixed number into an improper fraction (a fraction with its numerator larger than its denominator).

At about @1:40, Sal subtracts the depth of the smaller puddle from the depth of the larger puddle to find the difference between the puddles.

At about @2:10, Sal creates a visual representation of 1 1/4 and shows what happens when 2/4 are removed from 1 1/4. He gets the same result in the visual representation that he got when he did the arithmetic.(3 votes)

- could you just make both of the fractions improper and then add or subtract? that would be easier(0 votes)
- I don't under stand can you explain it in an easier way?(0 votes)
- how does he solve so fast he needs to slow down. I can`t understand what he saying.i need help i hope some one tells him to slow down please.(0 votes)

## Video transcript

- [Instructor] After a rain
storm, Lily measures the depth of several puddles in her backyard. She records her results in a table. So here are three different
puddles and she measures the depth in inches. We're asked how much deeper
was the puddle under the swing than the puddle on the sidewalk. So pause this video and see
if you can figure that out. So they say how much deeper
was the puddle under the swing, so that's this one right over
here it's one and 1/4 inches deep it's under the swing. How much deeper was that than
the puddle on the sidewalk? Do that in a different color,
the puddle on the sidewalk. And we see here the puddle
on the sidewalk is 2/4 inches deep, so what we could
do is subtract the 2/4 from the one and 1/4. So we could write one and
1/4 minus 2/4 could write it like that, and we could try
to subtract the fraction part 2/4 from the fraction part
of this mixed number up here from 1/4 but we immediately
have a problem 'cause 2/4 is a larger fraction than 1/4,
so how do we deal with that? Well the key is to realize
that one can be rewritten as a fraction, one and 1/4
is the same thing as one plus 1/4 which is the same thing
as another way to write one in terms of fourths is 4/4
so this is 4/4 plus 1/4 which is going to be equal to 5/4. So now you can do this as
5/4, this number is the same thing as 5/4 minus 2/4, let
me rewrite it, minus 2/4, minus two over four. And that's pretty
straightforward if I have five of something and I subtract
two of it, I'm going to have three of that something in this
case I'm talking about 3/4. So this is going to be 3/4 so
how much deeper was the puddle under the swing than the
puddle on the sidewalk? Well 3/4 of an inch. And just another way that you
could have visualized this is look I'm going to subtract
2/4 from one and 1/4. At first we could've thought
of one and 1/4 as a whole like this and then it's all let me
shade it, the whole and that's one and then I would have a
fourth of a whole so let me divide this into four sections,
so this is one and 1/4. And at first we say well how
do we take away 2/4 from just that I only have 1/4 right over
here and our key realization is well look, I actually
this whole right over here is actually 4/4 I can think of
it as 4/4, so I can think of it like this and now I have
5/4, one, two, three, four, five fourths and now I can take
away two of the fourths, so I can take away one of the
fourths and two of the fourths and what am I left with? Well then I am going to
be left with these 3/4 right over there.