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# 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 start fraction, 4, divided by, 6, end fraction and start fraction, 6, divided by, 9, end fraction with is greater than, comma, is less than, comma or equals.
First, let's divide two same-sized wholes into sixths and ninths.
Two equal-sized circles, one divided into 6 equal parts and the other divided into 9 equal parts.
Next. we need to fill in 4 of the sixths to show start color #11accd, start fraction, 4, divided by, 6, end fraction, end color #11accd and 6 of the ninths to show start color #1fab54, start fraction, 6, divided by, 9, end fraction, end color #1fab54.
Two equal-sized circles, one divided into 6 equal parts with 4 parts shaded and the other divided into 9 equal parts with 6 parts shaded. The area of the 4 shaded parts of the first circle is equal to the area of the 6 shaded parts of the second circle.
The fractions represent the same portion of the whole. So, they are equal.
start color #11accd, start fraction, 4, divided by, 6, end fraction, end color #11accd, equals, start color #1fab54, start fraction, 6, divided by, 9, end fraction, end color #1fab54

### Comparing fractions with number lines

Let's look at an example.
Compare start fraction, 5, divided by, 3, end fraction and start fraction, 9, divided by, 6, end fraction with is greater than, comma, is less than, comma or equals.
A number line labeled 0 to 2 with tick marks at 0, 1, and 2 emphasized. Tick marks at every one-sixth unit are marked, with a blue dot labeled five-thirds at the ten-sixths tick mark.
Let's think about where each fraction is located on the number line.
A number line labeled 0 to 2 with tick marks at 0, six-sixths, and 2 emphasized. Tick marks at every one-sixth unit are marked, with a green dot at the nine-sixths tick mark and a blue dot at the ten-sixths tick mark, which is also labeled five-thirds.
start color #11accd, start fraction, 5, divided by, 3, end fraction, end color #11accd is located to the right of start color #1fab54, start fraction, 9, divided by, 6, end fraction, end color #1fab54 on the number line, so start color #11accd, start fraction, 5, divided by, 3, end fraction, end color #11accd is greater than start color #1fab54, start fraction, 9, divided by, 6, end fraction, end color #1fab54.
start color #11accd, start fraction, 5, divided by, 3, end fraction, end color #11accd, is greater than, start color #1fab54, start fraction, 9, divided by, 6, end fraction, end color #1fab54

## Practice

Problem 1
• Current
Compare the fractions with is greater than, comma, is less than, comma or equals.
Hint: Think about how you would fill in each rectangle below to help you compare the fractions.
start fraction, 3, divided by, 4, end fraction
start fraction, 4, divided by, 5, end fraction
Two rows of equal length made up of rectangles. The top row is made up of 4 equal-sized rectangles and the bottom row is made up of 5 equal-sized rectrangles.

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.
• 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
• upvote(me) if u got all of them right
• 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?
• 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:

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
• do u guys like candy?
• Yes,i love 🤪
• 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.