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Ladies and gentlemen, welcome back to MrHansen.net math videos. Today's
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installment we're going to look at fractions and some essential questions about
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them. Question number one as presented in class is, what is a fraction? As we
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learn in class a fraction is the following. It's an equal part of a hole, it's
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written as a ratio, which is a comparison of two numbers. Okay, so it's equal parts
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of a hole. Anytime you're talking about a fraction you must have a whole thing.
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You must always relate it to the hole. For example, this rectangle, if you think of
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it as a candy bar, I have it divided into three segments. Those three segments
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indicate that we're breaking the hole into thirds, so if I write this as a
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ratio with a top number and a bottom number, the bottom number here is going to be
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three indicating that we're cutting in the thirds and that bottom number is
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called a denominator. Students suggested to remember that it's the one on the
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bottom because denominator is D like down. Now we have our thirds and they are
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equal parts of a hole. We can determine how much of those thirds we want to be
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concerned with. So if I were to shade in two of those thirds such as the first
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one and the second one, how many of those equal parts we're concerned with is
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two. So two becomes our numerator of this fraction, which is a ratio. Again,
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two is the numerator. It's the top number of a fraction. It indicates how many of
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these equal parts we're concerned with. So again, we have two. That's the
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numerator out of the three equal pieces. This fraction is two thirds. Students
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also suggested you remember numerator because N is like north and north points
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up. If we have a second fraction, I can take a look at this circle. The hole is
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a circle and it's split into four equal pieces and we're concerned with one of
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them. So I have one of those pieces out of a grand total of four equal pieces.
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This is our fraction one fourth, one being the numerator, four being the denominator.
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Again, I'd like to reiterate that as far as our essential questions go, a
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fraction is an equal part of a hole. Numerator is the top number. It tells you how
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many of these pieces you're interested in and the denominator is the bottom
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number. It tells you how many pieces or parts that the hole is divided into. In
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class, we also talked about some common uses for fractions and we said that
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fractions are used in cooking such as quarter and thirds of a cup. Building any
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time you're using a ruler for measurement is used in maps where one quarter of an
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inch may equals a certain distance in miles in real life and many other areas in
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life. Any time you need to figure out or use an amount that's less than a hole
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unit. So thank you very much. I hope this helps and this is again the first
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installment of essential questions.