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### Course: Arithmetic>Unit 15

Lesson 5: Dividing fractions by fractions

# Meaning of the reciprocal

Reciprocals are essential in understanding fractions. To find the reciprocal of a fraction, simply swap the numerator and the denominator. The product of a number and its reciprocal always equals 1. Reciprocals help us determine how many times a specific fraction fits into the whole number 1, making them valuable in various mathematical operations. Created by Sal Khan.

## Want to join the conversation?

• I don't really think I understand
• Well, the reciprocal is just swap the fraction, like the reciprocal of 1/2 is 2/1. Hope this helped!
• Hey guys Honestly there is a way easier way it is called KCF which is aka keep, change, flip (KFC IS KENTUCKY FRIED CHICKEN).

1/2 divided by 5
keep 1/2 change dividing into multiplying flip 5 into 1/5 now solve which = 1/10

I hope this helps
-QUEEN⚔
• That is what I'm learning in class.
• I don't get it, what does reciprocals mean please?
• The reciprocal is simply just the fraction but flipped upside down, so 2/3 will become 3/2, hope it answered your question!
• Sharing this visualisation I had to doodle to pin down reciprocals :
``0            2/3 ×   1|------l------l------| (=)0             1  ÷  3/2``
• ya idont get it
• Why is it called the reciprocals
• It's from the latin "reciprocus" which means returning, hope it helps!
• How does simply flipping a fraction immediately give you the amount of times that fraction goes into 1?
• Because the fraction itself is already a division problem. The numerator divided by the denominator. So, if you do the opposite division action, then that means everything was restored (or no division action was made at all). That is why flipping the fraction immediately gives the inverse, the amount of times that fraction goes into one.