Main content

### Course: 4th grade > Unit 7

Lesson 1: Equivalent fractions- Equivalent fractions and comparing fractions: FAQ
- Equivalent fractions with models
- Equivalent fractions (fraction models)
- Equivalent fractions on number lines
- Equivalent fractions (number lines)
- Visualizing equivalent fractions review
- Equivalent fractions
- More on equivalent fractions
- Equivalent fractions
- Equivalent fractions and different wholes
- Comparing fractions of different wholes
- Fractions of different wholes

© 2024 Khan AcademyTerms of usePrivacy PolicyCookie Notice

# Comparing fractions of different wholes

Sal compares fractions of different wholes.

## Want to join the conversation?

- can you divide fractions?(2 votes)
- Hi hagerkarson! Yes, you can divide fractions. It's a little different than multiplying fractions, but it's not that hard. Before you multiply, you have to learn the saying "keep, change, and flip". Now we set up our equation. You set it up just like with multiplication but with a division symbol instead of a multiplication symbol. There are a few changes, though. First, there's the keep. Keep means you keep the first fraction. Let's say it was 3/4. We would keep it as 3/4. Next is change. Change means we are going to change the division symbol to a multiplication symbol. Like this. ÷ is now ×. Lastly flip. Flip is where you take the fraction and switch the numerator and denominator. If you had 2/5, it would become 5/2. Now just solve the equation. If you had 3/4 ÷ 1/2 it would "keep, change, and flip" to 3/4 × 2/1. If you solve that with cross canceling, it would be 3/2 or 1 1/2. Hope this helps. Have a great day! 🤩(8 votes)

- Question: if we have a question like num 2 how do we do it do we just put “=“ pls tell!(2 votes)
- How do you add fractions to decimals?(2 votes)
- it depends on what grade your in(1 vote)

- you compare the different wholes. In the question right? can pls someone answer me??(1 vote)
- Let's say you and your friend each bake a cake. You use a small cake pan, while your friend uses a large cake pan. If you cut each cake into four equal pieces, a slice of your friends cake will be larger than a slice of your cake because you both used different sized cake pans.

Does that help you understand it better?(1 vote)

## Video transcript

- Amir ate 2/3 of a piece of red licorice. So, let's draw a piece
of red licorice over here and let's draw it into thirds,
so, or split it into thirds. Three equal sections, as
best as I can draw that, and he ate 2/3 of it, so
that's 1/3 right over here and then, this is a second third, So, that's 2/3, what I shaded in. This is how much of that red
licorice he would have eaten. Then, they tell us Nikko
ate 2/3 of a longer, but equally thick, piece of red licorice. So, it's gonna be equally
thick, but it's longer. So, I'm just gonna draw
something that is longer. So, that's longer, but equally
thick and he also ate 2/3 of this, but this is a longer
piece and it's equally thick, so it's actually gonna
be just a larger piece. It's gonna have more licorice in it. So, 2/3 of that, let me see if
I can split this into thirds and this is 1/3, this is a second third. Well, 2/3 of a larger piece
is going to be more than 2/3 of a smaller piece. This right over here,
this amount that he ate, it has the same width, but it's longer than this right over here. So, Nikko, because this is a
longer, but equally thick piece of red licorice, Nikko
ate more red licorice. Nikko for sure. Let's do another one. My unicorn, that's
interesting to have a unicorn. My unicorn, ate 2/6 of a
pizza from Store A, alright. I ate 2/6 of a different
pizza from Store B. Who ate more pizza? Well, it would depends. You know Store A's pizza
might look like this. Store B's pizza might look like this. So, if this was the case,
so if this is Store A and this is Store B, you eat
2/6 of this, let me divide this into sixths, so that's
halves, and that would be, and then sixths. Woops, I don't wanna do
eighths, I wanna do sixths. So, I wanna do something,
so ah that's close enough. You get the idea. So 2/6 would be like this,
one sixth, two sixths and 2/6 of this would
be, would be like this. Let me do my best shot at drawing this. I'm trying to do six equal
pieces, it's hard to hand draw, but this gets us close. 2/6 here would be that and that and if so, Store B's pizza is
bigger than Store A's pizza, then I would have eaten
more pizza than my unicorn. But, it might have been
the other way around. Maybe Store B's pizza's like this and Store A's pizza's like
this and if this was the case, my unicorn ate this 2/6
and the unicorn ate more. Or, maybe the pizzas were both this size, in which case, we would've
eaten the same amount. So, just based on what
they told us, we don't know how Store B's pizza
compares to Store A's pizza. We don't know, We don't know whether I or my unicorn got more, got more pizza. Let's do one more of these, these are fun. It took Hiro 1/3 of an hour to
run from his house to school. It took Fred 1/3 of an hour to
run from his house to school. Who took more time running to school? Now, this is a good
one, this is a good one, 'cause at first you
might say, OK, ya know, Hiro might live here, that's Hiro's house. I'll put H for Hiro here. Maybe this is the school,
I'll just try to draw larger, a larger building right
here, this is the school. And, you might say, OK
well maybe Fred's house, who knows where Fred's house is. Fred's house could be here. It could be there, it could
be over here some place. It could be over here some place. We don't know where Fred's
house is, we don't know if it's closer or further
away than Hiro's house. So, you might be saying oh, we don't know. Well, remember, they're not
saying who's house is closer or further away, or even who ran faster. They're telling us who took
more time running to school and they directly tell us
the amount of time they took. Hiro took 1/3 of an hour to run to school, from his house to school and Fred took exactly 1/3 of an hour. I don't know who ran faster or slower, or who went further distance
or shorter distance, but I know that they both
took the same amount of time. They both took 1/3 of an
hour, so this is the same. They both took the same, same time. This questions a little bit
like the famous brain teaser that some people might ask you, what weighs more, a pound of gold or a or, what would you rather
have, or actually no. What would, I know which
one you'd rather have. Which one weighs more, a pound
of gold or a pound of cotton? And people are like oh,
gold is heavier than cotton, maybe gold would make, but
we're saying a pound of gold versus a pound of cotton. Well they're both a pound,
they would weigh the same. That's kind of what we're
doing in this question right over here.