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Lesson 4: Mixed numbers

# Writing mixed numbers as improper fractions

Sal rewrites 5 1/4 as an improper fraction. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

• What's the difference between converting mixed numbers to improper fractions and changing mixed number to an improper fraction?
• There is no difference . converting is just a more sufficient word than changing to use in math.
• A turtle is 20 5/6 inches below the surface of a pond. It dives to a depth of 32 1/4 inches. What is the change in the turtle's position?
• 32 1/4 - 20 5/6 = 11 5/12
The change in the turtle's position is 11 5/12 inches. Hope I helped, btw I love turtles 🐢:)
• hi : ) can someone help me? we learned this in class today so for me its a bit more confusing, so can someone help me?
• Hi there! So writing mixed numbers as a improper fraction is pretty simple once you know how to do it.

For starters you have to have a mixed number to turn into an improper fraction. Take 3 1/2 for an example. The first thing you are going to do is do 2*3 because in the three, you have 6 halves. Then you will want to add it to the one because it you can't forget the half that was already there. Then you end up with the answer- 7/2
This also works with bigger numbers as well.

Hope this helps,
Shiloh
• were did you get 20/4?
• Imagine you have 5 cakes you want to split each of them into 4 pieces. How many pieces do you get over all? 20 or to be exact 20 forths of cake.

Hope this could help.
• Why does it always need to be a improper fraction? It is a improper fraction before we even change it! :(
• Its just to practice your skills converting between mixed and improper
• What pies gotta do wit this!
• Well 1 3/4 of a pie?

4 pieces make up the whole, and then there was another one but your friend ate a piece. so there is 3 out of 4 of the pie so you now have 1 and 3/4ths of a piece. I hope this helps!
• how do we decompose a fraction??