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so let's assume that this entire square represents a hole 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 decimal 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 hole is split into one two three four five six seven eight nine ten equal sections and six of them are filled in so the blue represents six tenths of a hole or represents you could say just say six tenths 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 be pause the video again and see if you can do that well six tenths 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 six tenths so you could just put it right over there we are putting a six in the tenths place to represent six tenths now what about a percentage well percent means per hundred so one way to think about it is six over 10 is the same thing as what per hundred that is equal to if we multiply the numerator and the denominator by 10 that's the same thing as 60 per hundred or another way of thinking about it 60 / instead of hundred you could say cent and so this would be equal to this would be equal to sixty percent 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 the video and do that well you can see that this is a 10 by 10 grid so there's a hundred equal sections here a hundred equal sections each of these squares represents one hundredth and how many of them are there let's see this is this row is 10 20 30 40 and then 1 2 3 4 so this is 44 over a hundred forty-four hundredths and we could actually represent this in other ways we could divide the numerator and the denominator by 4 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 hundredths you could say well you have your ones place and then this is the same thing you literally just say this is 44 hundreds this is another way of representing 40 400s it's 4 tenths and 4 hundredths is 44 hundredths and then if you were to do a percent well this is 44 per hundred or 44 hundredths but even here I like I like looking at it as 44 per hundred or 44 percent so this is going to be 44 percent and we're done