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Lesson 6: Comparing fractions

# Comparing fractions with > and < symbols

When comparing fractions, remember that the numerator is the top number and the denominator is the bottom number. With the same denominator, the larger numerator means a larger fraction. With the same numerator, the smaller denominator means a larger fraction. Two fractions can be equivalent even with different numerators and denominators. Created by Sal Khan.

## Want to join the conversation?

• So if you had 12/12, would that equal 1 whole?
• yes because its like 1/1 wich is one whole
• How can 3/4 be larger than 3/7? 3/4 has a smaller denominator. Can someone help me?
• If you have a bigger denominator it is smaller because then you have more parts, and that makes it smaller. fractions can also be turned into decimals, so 3/7= 3 divided by seven, which is about 0.4285. but 3 divided by 4 is 0.75.
• Are fractions like division
• yes, because it divides the shape equally no matter what kind of fraction it is so it's related to division.
• Is 9 tenths subtract 1 third greater than 1 half
• convert the two fractions so that they have a common denominator. The common denominator here is 30
• wait but what if the 3/7 pieces where much bigger than how sal cut them and the 3/4 where the same so you cant always know. Is there an other operation that tells you what to do with that.
• As mentioned in prior discussions, you have to assume the whole units are the same size. If they aren't, the problem will tell you they aren't and you will need to convert them to units that are equal size. For example: We don't compare liters and gallons without converting to a common unit of measure. You need either both numbers in liters or both numbers in gallons to work with them.
• I understand what <,>, & = equals, but what does the < and > mean with a line under it?
(1 vote)
• Do you mean ≤ and ≥?

≥ is equal to or greater than. For example, you could use 2 ≥ 1 or 4 ≥ 4.

≤ is equal to or less than. For example, you could use 5 ≤ 8 or 8 ≤ 8.
Hope this helped! <3
• why is comparing and contrasting so important if your not solving or doing anything but says f they are the same or not or equal to..
• You are still technically answering what the question is, whether this fraction is bigger than the other. It's just that the answer is not a number.

Also, knowing which fraction is bigger will help later on, such as subtracting fractions with different denominators.
• can fractions have decimals?
• Yes, and this is common in basketball. For example, a player who attempts 10.6 shots per game and makes 5.3 of them can be represented by the fraction 5.3/10.6 (which, of course, means the player makes half of their shot attempts)
• How do you remember that the top is the numerator and the bottom is the denominator?
• I can think of it as the top is "New" and the bottom as "Den"
The numerator has sprung out of the floor, "New" as ever.
The denominator is under the line, so it is in it's "Den"