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4th grade

Course: 4th grade>Unit 7

Lesson 3: Comparing fractions with unlike denominators visually

Visually comparing fractions review

Review comparing fractions with fraction models and number lines, and try some practice problems.

Comparing fractions

We can compare fractions by seeing which one takes up a greater portion of the same whole.

Comparing fractions with fraction models

Let's look at an example.
Compare $\frac{4}{6}$ and $\frac{6}{9}$ with $>,<,$ or $=$.
First, let's divide two same-sized wholes into sixths and ninths.
Next. we need to fill in $4$ of the sixths to show $\frac{4}{6}$ and $6$ of the ninths to show $\frac{6}{9}$.
The fractions represent the same portion of the whole. So, they are equal.
$\frac{4}{6}=\frac{6}{9}$
Want to learn more about comparing fractions with fraction models? Check out this video.

Comparing fractions with number lines

Let's look at an example.
Compare $\frac{5}{3}$ and $\frac{9}{6}$ with $>,<,$ or $=$.
Let's think about where each fraction is located on the number line.
$\frac{5}{3}$ is located to the right of $\frac{9}{6}$ on the number line, so $\frac{5}{3}$ is greater than $\frac{9}{6}$.
$\frac{5}{3}>\frac{9}{6}$
Want to learn more about comparing fractions with number lines? Check out this video.

Practice

Problem 1
Compare the fractions with $>,<,$ or $=$.
Hint: Think about how you would fill in each rectangle below to help you compare the fractions.
$\frac{3}{4}$
$\frac{4}{5}$

Want to try more problems like this? Check out this exercise.

Want to join the conversation?

• I need a strategy that does not include any drawings and is faster.
(31 votes)
• I have a strategy that is much more useful and faster. So you first have two fractions. Multiply the denominator to the other fraction's numerator, and then do the same thing to the other side. Compare both the products by moving the product above the numerator. The one with the greater number on top of the numerator will be bigger.
For example:

1st Step)
3/5, 2/3 which one is bigger?

2nd Step) 3 x 3 = 9, 5 x 2 = 10

3rd Step) 9 < 10

So, 3/5 < 2/3
(31 votes)
• when it says ," Next we need to fill in 4 of the sixths to show 4/6 and 6 of the ninths show 6/9." am i the only one who doesn't understand that he/she is saying?
(8 votes)
• For that your teacher is probably asking you to shade in a model. If she said that she would want you to make a bar diagram or like a circle, you'd have to divide it into the denominater's number and shade in the numerater's number.

Example:

1)Your teacher asks you to fill in...

2)You draw a diagram

3) You divide the diagram into the denominater's number

4)You shade in the numerater's number

5)There is NO step 5, it is that simple
(17 votes)
• do u guys like candy?
(18 votes)
• Yes,i love 🤪
(0 votes)
• I love this app It helps What to do this is fun like it helps people like i love this app thx for helping me.
(12 votes)
• its a lot eisier than i thought!
(9 votes)
• really is though
(3 votes)
• i love this app this is a good app for me it tell me what to do on the video😀
(10 votes)
• Does the teacher see the questions or comments
(4 votes)
• I don't think so, but other people do, and if they know the answer to your question they'll tell you.
(7 votes)
• so ez
(4 votes)
• Why is some of this harder than it should be
(4 votes)
• This helped alot but i am still a bit confused
(4 votes)
• It is so easy
(2 votes)