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Lesson 4: Mixed numbers

# Writing improper fractions as mixed numbers

Sal rewrite 7/4 as a mixed number. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

• What if you have a whole number but no remainder, I'm completely stuck on a question for a quiz.
• That's ok. Some improper fractions will convert to whole numbers. For example: 63/7 = 9
Hope this helps.
• Can you explain how to turn an improper fraction to a whole number?
• You would divide. But many improper fraction can't be changed into whole numbers. They get changed into mixed numbers (a whole number with a fraction).
For example: 56/8 = 7 (a whole number because there is no remainder when you do the division.

59/8 = 7 3/8. It isn't a whole number. It is a mixed number.
• What if there is no remainder for the whole number, Is this possible? .-.
Maybe with... 8/2 . How would I solve this into a mixed number?
• 8 / 2 = 4. So, it is just a whole number rather than a mixed number.
Note: 8 / 2 is still an improper fraction and it can be reduced. So, you would do the division to change it into the 4.
Hope this helps.
• How can i use this in future coming terms
• Mathematics is very important in life, even if it doesn't seem like.

eg. Video games, food, transportations.

To think about it, almost everything includes mathematics.

For Mix Fraction in specific, they can be found a lot in cooking. You need it to measure how many cups of flour in your favourite cake, or how many cups of rice in your dinner.
• I have one question: sometimes you have to do these kind of things really fast; I was wondering if there was a fast and accurate way to convert fractions and mixed numbers, so you don't have to take that long and do all that stuff and take an hour to do one math problem.
• If there are mixed fractions and improper fractions I'm wondering if you can put a improper fration to a mixed fration and vis veversa
• Absolutely! For example, you can add 5/6 to 8/2 by making them common denominators (5/6+24/6 = 29/6) I hope this answers your question! :)
• The denominator represents the size of a group, so when a group is filled up (2/2, or 3/3, etc), it creates a whole for the Mixed number. What is left over is the amount that can't make up another whole group, this is the numerator.
• What if you have 0 wholes?
• if u had 0 wholes it wouldn't be a mixed number. It would be simply a fraction or a improper fraction NOT a mixed number right?
• What does the 7 in 7/4 mean?
Also what does the 4 in 7/4s mean?
• The 7 in seven fourths represents the amount you are counting. You're counting 4/4 and 3/4, so you're counting 7 of the fourths.

4 represents the amount in every whole.

If you divide two pizzas into four slices each and you eat one slice of one pizza, you have 7/4 slices left. Seven represents the amount you're counting, which is how much is left in this case, and four represents that there are four slices to a whole.