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### Course: MAP Recommended Practice>Unit 34

Lesson 32: Dividing fractions and whole numbers word problems

# Dividing whole numbers by fractions: word problem

Learn to solve a word problem that involves dividing a whole number by a unit fraction. Created by Sal Khan.

## Want to join the conversation?

• Can't you just multiply 4 and 5 in the beginning?
• Yes you could have, but you will be more sure of your answer if you do it Sal's way (even though he is basically doing that, but step by step).
• what is a potpurri?
• a mixture of dried petals and spices placed in a bowl to perfume a room.
• What is potpourri
• It seems to be there is two definitions of potpourri. The definition I know is "a little bit of everything" or "everything". Using context clues, I think potpourri is kind of like a trail mix of some kind of food. By trail mix, I mean, "a whole bunch of different types of foods". What kind of food, I don't know, but I hope I helped!
• Sal how do I make a fraction out of 5 and divide it by 1 half ( not a home work question) :)
• 5/1 and 5 divide by 1/2 equals 2 1/2 (i think)
(1 vote)
• what is potpourri?
• A mixture of dried petals and spices placed in a bowl or small sack to perfume clothing or a room
• Ok, I'm confused, If I had 3 cups of something and only wanted a third of it would that equation not be 3 divided by 1/3. If so the answer is nine instead of one?
• Here is how I look at it. Words mean things. When you say "a third of it," the word "of" is the key: "of" means to multiply. So, "a third of it" which is "a third of 3 cups". Do a simple substitution of "times" for "of": "a third times 3 cups".

So 1/3 x 3 cups = 1 cup
• could you just say 4 times 5
• Yes, you could.. but some schools want you to show your work.
• do you get a different answer when you do 5/6divided by 2 or 2 dividded by 5/6
• Yes you do get different answers! The order in which you divide numbers makes a difference.
5/6 divided by 2 = 5/6 times 1/2 = 5/12.
2 divided by 5/6 = 2 times 6/5 = 2/1 times 6/5 = 12/5.
5/12 is not the same as 12/5. 5/12 is less than 1, but 12/5 is greater than 1.

Have a blessed, wonderful day!