If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

### Course: Math (NSDC) - English>Unit 3

Lesson 6: Comparing fractions

# Comparing improper fractions and mixed numbers

Worked examples comparing improper fractions and mixed numbers. Created by Sal Khan.

## Want to join the conversation?

• Is is true that 1 3/7 will always be less than 2 2/4, even though 7 is a larger number than 4?!
• Yes, 1 3/7 will always be less than 2 2/4 and it has nothing to do with the fractions.
1 3/7 has 1 whole unit + a fraction
2 2/4 has 2 whole units + a fraction
2 whole units is always larger than 1, so 2 2/4 is always larger than 2 2/4

If the whole numbers matched, then you would need to compare the 2 fractions. Remember, the denominator tells you the number of pieces that make up a whole unit. So, a 7 in the denominator tells you that fraction has smaller pieces than the one with a 4 in the denominator.

Notice: 2/4 is the same as 1/2. And, 3/7 is smaller than 2/4 because 3 is smaller than half of 7.

Hope this helps.
• How do you know if I have the right answer for a problem ?
• Use the calculator to figure out the answer
• How do you simplify improper fractions as mixed numbers?
• You first see how many times the bottom number goes into the top. That is the number part of the mixed number . Then you take the remainder and put over the original numerator to make the fractional part of the mixed number. You put the two parts together and you have your mixed number!
• Is 2 3/7 greater than or less than 1 9/7
• Or you can think of it like this way, 7/7 is equal to 1 whole, and 9 is bigger than 7. So now it's 2 2/7.
2 3/7 is bigger.
• How do you simplify improper fractions as mixed numbers?
• The video lessons are a great help to understand the lesson.
• you can make both a mixed number or improper fraction right?
• Yes, you can. For example, a mixed number can be converted into an improper fraction and you can convert an improper fraction into a mixed number.