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- [Instructor] Let's say
we wanted to figure out
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what six minus 3/4 is equal to.
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Pause this video and work
through this on your own
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before we work through this together.
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All right, now there's a couple of ways
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that we could think about this.
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The first way is we could
represent this six wholes
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as a bunch of fourths.
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So how many fourths is six wholes?
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Well, we already know
that one is equal to 4/4.
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So six wholes, that's
gonna be six times as many.
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So instead of 4/4, you're
going to have 24/4.
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So, 24/4 is the same as six.
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And you could see that
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because you're going
to use 4/4 for a whole.
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And you could do that six times.
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And now, we can subtract
the 3/4 from that.
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And what does that get us?
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Well, if I have 24 of something
minus three of something,
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that's going to be 21 of that something.
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So, 24/4 minus 3/4 is 21/4.
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Now, there's another way that
you could think about this.
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You could say,
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well, six is the same
thing as five plus one.
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And you might say, why would I do that?
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Well, if you have one here,
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you could subtract 3/4 from that.
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So you could subtract three,
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lemme do that in a different color.
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You could subtract the
3/4 now from the one.
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And so this is going to
be equal to five plus,
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and let's rewrite one over here.
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Lemme just do it in a different color.
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I'm having trouble changing colors today.
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One is how many fourths?
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Well, we already wrote it over here.
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It's 4/4.
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So that's 4/4 minus 3/4.
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And what is that going to be equal to?
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Well, that's going to
be equal to, once again,
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we have this five over here plus
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4/4 minus 3/4 is, of course,
this is going to be one.
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This over here is going to be 1/4.
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So you get five plus 1/4
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is going to be equal to five and 1/4.
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You might say, hey, is that
the same thing as 21/4?
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Well, yes it is because five is what?
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That's the same thing as 20/4.
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So it says 20/4 plus 1/4, which is 21/4.
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Another way you could think about this,
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if you were to take four,
it goes into 21 five times
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with a remainder of one.
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So there's many different ways
that you could approach this.