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### 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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# Rewriting a fraction as a decimal: 3/5

To convert a fraction to a decimal, one approach is to rewrite the fraction with a denominator that is a power of ten. This makes it simple to express the fraction as a decimal, with each place to the right of the decimal point corresponding to a different power of ten. Created by Sal Khan.

## Want to join the conversation?

- but how do you express hundredths as a decimal?(4 votes)
- 0.01

___↑

Hundredths

So 1/100 = 0.01

Hope this answers your question.(3 votes)

- I divided 3 by 5 and got .6 .... this way seems long and hard to understand. was i wrong for doing the problem the way i did?(3 votes)
- just consider 3 to be 30. Now 30 divided by 5 is 6, right? But as our no. is 3, (30/10) we divide the answer by 10 too. So we get 0.6(5 votes)

- At1:22he says "the easiest way to split this whole into tenths is to take each of those fifths and turn them into 2 tenths." What's the other way to do it? (Even if it's not the easiest.)(4 votes)
- How do you convert fraction to decimal - I don't understand(2 votes)

- my teacher told me to divide the numerator by the denominator. Is that a method i can still use, or should i resort to tis one?(3 votes)
- I don't think it really matters as long as you are getting the right answer.(3 votes)

- At2:07Sal said "This should make conception sense" In that sentence what does conception mean?(3 votes)
- 3/4+1/4+1/2= how do you solve this problem(2 votes)
- First you find equal denominators. You must multiple the fraction 1/2 by 2/2 which equals 2/4. Now you have 2/4 + 3/4 + 1/4 and then you just add the numerators (since all the denominators are equal.). This equals 6/4 or 3/2 in simplified form.(3 votes)

- Could someone help me with turning decimals into fractions?😃 I'm not that good in that.☹(3 votes)
- 5/8 into a decimal and percent(2 votes)
- To change 5/8 into decimal, just divide 5 by 8, which will be 0.625

To change 5/8 into percent, just multiply it by hundred, which will be 62.5%(3 votes)

- How can Rewrite 4/5 into a decimal. I am confused!!(3 votes)
- If I have 35/10, what would that be?(2 votes)
- If I have 35/10, it would be simplified as 3/5.(0 votes)

## Video transcript

Let's see if we can
write 3/5 as a decimal. And I encourage you
to pause this video and think about if you
can do it on your own. And I'll give you a hint here. Can we rewrite this
fraction so, instead of it being in terms of fifths,
it can be in terms of tenths? So I'm assuming you've
given a go at it. Let's try to rewrite this
as a fraction with 10 as the denominator. But let's just first
visualize this. So we have fifths. So let's say that's 1/5. Actually, let me just
copy and paste this. That is 2/5. That is 3/5, and that is 4/5. And that is 5/5, or this
would be a whole now. So that is our whole. And we want to color
in 3 of those 5, so we want to think
about what 3/5 are. So let me get my magenta out. So that's 1/5. I can actually make this
bigger even-- 2/5 and 3/5. There you go. Color that in. That is 3/5. Now, how could I
write this in terms of tenths-- instead of 3/5,
a certain number of tenths? Well, let's split this
whole into tenths. And the easiest way to
split this whole into tenths is to take each of those
fifths and turn them into 2/10. So let's do that. So If we were to do
this right over here, we now have twice
as many sections. So another way of
thinking about it, we are multiplying the
number of sections by 2. We now have 10 sections. Each of these is a tenth. And the 3 of those sections are
now going to be twice as many. What we have in magenta, we
now have twice as many sections in magenta. So we're going to multiply
that by 2 as well. Notice we just multiplied the
numerator and the denominator by 2. But hopefully it makes
conceptual sense. Every piece, when we're
talking about fifths, we've now doubled so
that instead of every 1/5 is now 2/10. You have a 1/10
now and a 1/10 now. And we could just keep
writing 1/10 if we like. Each of these things right
over here are a tenth. And then each of the 3 are
now twice as many tenths. So the 3/5 is now 6/10. So let's write that down. So this is going to
be equal to 6/10. Now why is this interesting? You can literally
view this as 6/10-- let me write it this
way-- 6 times 1/10. I'm going to do that in blue. 6 times 1/10. Well what's another way to
represent 6/10 or 6 times 1/10? Well you can express
that as a decimal, where we go to the tenths place. So when you write a
decimal-- so let's see 0 point-- the place
right to the right of the decimal, that
is the tenths place. This right over
here is the ones. That right over
here is the tenths. That's the tenths place. So how many tenths do we have? We have six tenths. So we could write this as 0.6. So there you have it. Let me write that. This is equal to 0.6. And we're done. We've just expressed
this as a decimal. 0.6 is the same
thing as 6/10, which could be rewritten
as 3/5 or vice versa.