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“So let s assume that this entire square represents a whole and we can see see that part of it is shaded in in blue. What we re going to 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.

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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.

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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.

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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.

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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. ” .

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Fraction decimal and percent from visual model

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