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Course: 5th grade > Unit 7
Lesson 5: Dividing fractions and whole numbers word problemsDivide fractions: FAQ
Frequently asked questions about dividing fractions.
What does it mean to divide fractions?
When we divide one fraction by another, we're finding out how many times one fraction fits into another. For example, tells us how many one-fourths are in one-half.
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How is dividing fractions related to multiplying fractions?
When we divide fractions, we can use the reciprocal of the divisor (the fraction we are dividing by) to multiply instead.
For example, .
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How can we use visuals to help us understand fraction division?
We can use pictures, models, or diagrams to show how dividing fractions works. For example, we can show by drawing a half circle and dividing it into four equal parts to see that there are two one-fourths in one-half.
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What is a unit fraction and how do we divide with them?
A unit fraction is a fraction with a numerator of 1. For example, , , and are all unit fractions.
When we divide a unit fraction by a whole number, we multiply the denominator by the whole number. For example, .
When we divide a whole number by a unit fraction, we multiply the whole number by the reciprocal of the unit fraction. For example, .
Try it yourself with these exercises:
What are some common mistakes people make when dividing fractions?
Some common mistakes include:
- forgetting to find the reciprocal of the divisor when using the multiplication method
- dividing the numerators instead of multiplying them when using the multiplication method
- forgetting to simplify the answer when possible
Want to join the conversation?
- i love fractions and(3 votes)
- I understand this a lot, honestly.(3 votes)
- thank you so much khan academy(2 votes)
- Soo I have a question... What's the point of having FAQ's if The guy Sal explains about the subject in the videos? (Please press the vote button thingy thing fur me)(2 votes)
- I just don't understand how recicropical number holds same value as original number. In your example 2 / 1/2 = 2 x 2/1 = 4, so recicropical number of 2 is 1/2. Now problem is I don't see how they hold same value. I learnt I can use math to find out if which number is bigger. So 1/2 and 2/1. 1 x 1 = 1, 2 x 2 = 4. So 2/1 is bigger. Meaning they don't hold same value. If they don't hold same value doesn't result change?(2 votes)
- Remember, dividing by a fraction is the same as multiplying by its reciprocal. But, this is not saying that a fraction holds the same value as its reciprocal. Of course they do not.(1 vote)
- Fractions are ez. you just have to practice alot!(2 votes)
- how do you forget to simplify the answer(1 vote)
- why do we divide decimals(1 vote)
- It's good for dividing fractions.(1 vote)
- How would you stop these form happening: forgetting to find the reciprocal of the divisor when using the multiplication method
dividing the numerators instead of multiplying them when using the multiplication method
forgetting to simplify the answer when possible(1 vote)