MAP Recommended Practice
Course: MAP Recommended Practice > Unit 34Lesson 32: Dividing fractions and whole numbers word problems
Dividing fractions by whole numbers: studying
Learn to solve a word problem that involves dividing a unit fraction by a whole number. Created by Sal Khan.
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- So Basically An Reciprocal Is The Opposite?(4 votes)
- Kind of, yes.
You just have to exchange the numerator and denominator for each other to get the reciprocal
For example the reciprocal of 4 would be 1/4, the reciprocal of 1/4 would be 4, and the reciprocal of 2/3 would be 3/2(2 votes)
- When Im dividing fractions and whole numbers (word problems) I always get stumped up on whether or not to keep my answer as a whole number or to add the "1" on top as my numerator. For example- Sally has 1/4 of a tray of brownies. She splits it up between 4 of her friends. How many brownies does each person get? Would my answer be 1/16 or 16? Sorry if this was confusing I'm not that good at explaining things.(3 votes)
- 1/4÷4 would be equal to 1/4×1/4 (flip the second number over). So 1/16 would be the answer. 16 wouldn't be possible because sally only has 1/4 of a tray of brownies; 16 is bigger than 1/4 so 16 is impossible to get(5 votes)
- Kwambok had 30kg of sugar . She put the sugar into packes wagging 3/4 kg each .how many packets did she full?(3 votes)
- Each packet contains 3 ∕ 4 kg, so 10 packets then contains 30 ∕ 4 kg, so in order to get to 30 kg we need 4 ∙ 10 = 40 packets.
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Also, the total weight ∕ the weight of each packet = the number of packets
This gives us 30 ∕ (3 ∕ 4) = 30 ∙ 4 ∕ 3 = 10 ∙ 4 = 40(4 votes)
- at2:34i loved it so much(4 votes)
- I don't get this quite yet could any one help me with this?(2 votes)
- :^| i could help!
the reciprocal is the number flipped. so if you divide lets say, 1/2 by 5, it would be the same thing as multiplying 1/2 by 1/5, which is the reciprocal of 5. then you multiply, giving you 1/10. So, 1/2 divided by 5 is equal to 1/10.
I hope this helped!
Also here's a less math-y way of doing this:
multiply the right two numbers.
easy right?(2 votes)
- Why does multiplying by a reciprocal is the same than divining fractions? I have not find a video that explains why it works.(2 votes)
- If division is the reverse of multiplication, does this mean that 1/5 x 1/20 = 4?
It is really confusing!'(2 votes)
- 1/5 * 1/20 = (1*1) / (5*20) = 1/100, not 4.
Division is the reverse of multiplication in the sense that: 9*5 = 45. So, then 45/5 = 9 or 45/9 = 5. The division reverses or undos the multiplication.(1 vote)
- So do you just multiply the denominator of the first fraction and the numerator of the second fraction(4 votes)
- Unlike adding you multiply the denominator and the numerator and same with division.(0 votes)
- Why divide 1/5 of 4 when you can multiply?(2 votes)
- what is reciprocal?
tell me in easy word(1 vote)
- Reciprocal is just flipping the integer or fraction over. For example, the reciprocal of 5 is 1/5 since we can view 5 as 5/1.(2 votes)
Tommy is studying for final exams this weekend. He will spend 1/5 of the weekend studying. What fraction of the weekend will he spend studying for each of his 4 subjects if he spends the same amount of time studying for each subject? So the total amount of time he's going to spend studying this weekend is 1/5 of the weekend. And he has to divide that into 4 equal sections. And he's going to spend that much time on each subject. So he's going to divide this by 4. Now, we've already seen that dividing by a number is the same thing as multiplying by its reciprocal. You might say, hey, well, what's the reciprocal of 4? You just have to remind yourself that 4 is the same thing as 4/1. So 1/5 divided by 4/1 is the same thing as 1/5 times 1/4. And you could also view this as 1/4 of 1/5 or 1/5 of 1/4, either way. But here we multiply our numerators to get 1. And then we multiply our denominators, 4 times 5 is 20. So you get 1/20 of the weekend will be spent studying for each subject. Now, let's also try to think about this visually. Let's imagine that this is his entire weekend. And I've divided it into 5 equal sections. And so we already know that the total amount of his weekend spent studying is 1/5. So that's the total amount studying for the weekend is 1/5. Now, he has to divide this into 4 equals section. So let's do that. He's got four subjects, and he's going to spend the same amount of time on each of the 4 subjects. So he's going to divide this into 4 equal sections. So how much time does he spend on one subject? Well, in each subject, that would be this little area that I'm doing in yellow right over here. And what is that? Well, that's 1 over-- how many equal sections are there of that size in the weekend? Well, I've just drawn out the grid. You had 5 rows, and now you have 4 columns. So 5 rows times 4 columns, you have 20 equal sections. So once again, looking at it visually, he's spending 1/20 of his weekend on each of the 4 subjects. And then if you do this for 4 subjects, that means that in this whole weekend, 1/5 will be spent studying. But the question that they're asking, he's spending 1/20 of the weekend on each subject.