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## 5th grade (Eureka Math/EngageNY)

### Course: 5th grade (Eureka Math/EngageNY) > Unit 4

Lesson 7: Topic G: Division of fractions and decimal fractions- Relate fraction division to fraction multiplication
- Visually dividing whole numbers by unit fractions
- Dividing whole numbers by unit fractions visually
- Dividing a whole number by a unit fraction
- Dividing whole numbers by unit fractions
- Visually dividing unit fraction by a whole number
- Dividing unit fractions by whole numbers visually
- Dividing a unit fraction by a whole number
- Dividing unit fractions by whole numbers
- Dividing whole numbers by fractions: word problem
- Dividing fractions by whole numbers: studying
- Divide fractions and whole numbers word problems
- Fraction and whole number division in contexts
- Rewriting a fraction as a decimal: 3/5
- Rewriting a fraction as a decimal: 21/60
- Fractions as division by a multiple of 10
- Dividing decimals
- Divide decimals by whole numbers
- Divide decimals like 16.8÷40 by factoring out a 10

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# Visually dividing whole numbers by unit fractions

Sal uses fraction models and number lines to divide whole numbers by unit fractions.

## Want to join the conversation?

- 3 divided by 1/6 is like 3x6(14 votes)
- I'm in 8th grade and reviewing this :((7 votes)
- its ok everyone has its own speed to school for me i do 4th grade reading insted of 5th(6 votes)

- You can just do 3 x 6 = 18 pieces.(6 votes)
- Makes VERY sense thank you(6 votes)
- A Mixed number has a whole number part and a fraction part.

Rather than simply having a fraction with a bigger numerator than a denominator (an 'improper fraction'), we sometimes write out the full number and the left part of a fraction. For example, we say "1 and 3/4 inches", rather than "7/4" of an inch.(5 votes) - Should I write it to remember it(4 votes)
- Yes do it. If writing it down helps you(3 votes)

- goodness he is good at this(4 votes)
- this will really help with my test this friday(3 votes)
- ok.. now I get it. I think. I need to study for a test.(3 votes)

## Video transcript

- [Narrator] If five is
divided into pieces that are each one half of a whole,
how many pieces are there? And this would be the
equivalent of saying, "What is five divided by 1/2?" And they help us out with this visual. So pause this video and see if you can figure out what that is. How many pieces would you
get if you divide five into pieces that are
each one half of a whole? All right, now let's work
through this together. So here on this number line
we go from zero to five, and then notice they've
divided into pieces that are each a half of a whole. This is one piece right over here. So how many of those halves, so this right over here is one half, how many of those halves
does it take to make five? Well, two halves make a whole,
and we have five wholes. So it's going to be five times two, or 10. And we see that right over here. One half, two, three, four,
five, six, seven, eight, nine, 10 halves make five wholes. So this is going to be equal to 10. So five divided into pieces
of one half, or five wholes divided into pieces of one half
would be equal to 10 pieces. Let's do another example. So we have a similar question here. Here we're asked, "If three wholes are divided into pieces that are each 1/6 of a whole,
how many pieces are there?" Once again, pause this
video and think about it. Well, they really help
us out with this visual because we have three wholes. This is one whole, two
whole, and then three wholes, and then we have divided them into pieces that are each 1/6 of a whole. This is a sixth right
over here, this is a sixth right over here, so each
of these are sixths. And so, if we look at this,
we have six sixths in a whole, and so in three wholes we're
gonna have six, 12, 18 pieces. And you could literally
just count these up. But it makes sense. If you take three wholes and
you divide it into sixths, so this is a sixth right over here, each of these wholes are
going to be six sixths, so three wholes are going to be three times six sixths, or 18 sixths. There you go.