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### Course: 6th grade > Unit 3

Lesson 4: Equivalent representations of percent problems- Fraction, decimal, and percent from visual model
- Converting percents to decimals & fractions example
- Percent of a whole number
- Ways to rewrite a percentage
- Converting between percents, fractions, & decimals
- Equivalent representations of percent problems
- Finding common percentages
- Benchmark percents
- Converting percents and fractions review
- Converting decimals and percents review

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# Fraction, decimal, and percent from visual model

Learn how to convert shaded parts of a square into fractions, decimals, and percentages with ease. Master the skill of representing parts of a whole in different formats, such as simplifying fractions, converting decimals to percentages, and understanding the relationship between them. Boost your math skills and gain confidence in solving real-world problems.

## Want to join the conversation?

- I need help with converting these kind of fractions into percentages: 13/15, 16/25, and so on.(37 votes)
- To convert a fraction to a percent, multiply by 100.

13/15 * 100/1 = 1300/15 = 86 10/15% = 86 2/3% or 86.666... with the 6 repeating. You would often be asked to round in this type of problem.

The same process works for your 2nd fraction.

Hope this helps.(34 votes)

- in this video i was not able to understand how did you come up with 3/5 instead of 6/10(12 votes)
- If you divide both sides of the fraction by two, then you will get a fraction that is equal to the original.(9 votes)

- how does a fraction help us with when you get older like what do we use it for(5 votes)
- Recipes

Equal slices of cake, bread, etc

Measurements of items (2/3 a gallon of paint, 1/4 a liter of water, etc)(26 votes)

- what is a dog? i need help i dont know(11 votes)
- A dog is an animal whose scientific name is Canis Lupus Familiaris. They are normally furry and like spending time with humans.(4 votes)

- I need help with this are fractions the same thing as desimals(6 votes)
- No they are not. But they can represent the same number.(15 votes)

- At the3:15mark (or so), I don't understand how 44/100 turns into 11/25.

Specifically, I don't understand the 100 being simplified into 25, visually. How does that work?(9 votes)- they simplyfied it for you. they divided 44/100 by 4. hope this helps:)(6 votes)

- I may never understand this. : ((5 votes)
- why does this thing ask if we need help and mark stuff wrong?? very weird(7 votes)
- If you get a hint you don't do the problem by yourself(0 votes)

- I need help converting decimals to percents when they are over two digits. Foe example, .391 How can I convert it to a percent?(4 votes)
- 39.1% All you need to do is multiply by 100, which is moving the decimal point to the right two digits. That's for any conversion from decimals to percent. Remember, you can actually have decimals within a percent. :)(5 votes)

- It’s nice that we have math to solve problems in the real world. Imagine a world without math. 😮 🤯(5 votes)

## Video transcript

- [Instructor] So let's
assume that this entire square represents a whole. And we can see that part
of it is shaded in in blue. What we're going to do in this video is try to represent the
part that is shaded in blue as a fraction, as a decimal, and as a percent. So pause the video and
see if you can do that. Well, let's first think
about it as a fraction. So, the whole is split
into one, two, three, four, five, six, seven, eight,
nine, 10 equal sections, and six of them are filled in. So the blue represents 6/10 of a whole, or it represents, you
could just say, 6/10. And you could also rewrite that. If you divide the numerator
and the denominator by two, that's the same thing as three over five. Fair enough. Now let's represent it as a decimal. What decimal would it be? Pause the video again and
see if you can do that. Well, 6/10, we could literally
just go to our place value. So that's the ones
place, we have a decimal. And then you have your tenths place. And so we have 6/10, so you could just put it right over there. We are putting a six in the
tenths place to represent 6/10. Now, what about a percentage? Well, percent means per 100, so one way to think
about it is six over 10 is the same thing as what per 100? That is equal to, if we
multiply the numerator and the denominator by 10, that's the same thing as 60 per 100. Or another way of thinking about it, 60 per, instead of 100 you could say cent. And so this would be equal to 60%. Let's do another example. So here, once again, our entire
square represents a whole. So see if you can represent this as the part that's shaded
in blue as a fraction. Pause the video and do that. Well, you can see that
this is a 10 by 10 grid, so there's 100 equal sections here. 100 equal sections. Each of these squares represents 1/100. And how many of them are there? Well, let's see, this
row is 10, 20, 30, 40, and then one, two, three, four. So this is 44 over 100, 44/100. And we could actually
represent this in other ways. We could divide the numerator
and the denominator by four, in which case you would get 11 over 25. That's another way to
represent this same fraction. Now, what about as a decimal? Well, 44/100, you could say, well, you have your ones place, and then this is the same thing. You could literally
just say this is 44/100. This is another way of
representing 44/100. It's 4/10 and 4/100 is 44/100. And then if you were to do a percent, well, this is 44 per 100, or 44/100, but even here I like look
at it as 44 per 100 or 44%. So this is going to be 44%. And we're done.