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A recipe for banana oat muffins[br]calls for 3/4 of a cup

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of old-fashioned oats.

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You are making 1/2[br]of the recipe.

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How much oats should you use?

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So if the whole recipe requires[br]3/4 of a cup and

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you're making half of[br]the recipe, you want

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half of 3/4, right?

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You want half of the number of[br]old-fashioned oats as the

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whole recipe.

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So you want 1/2 of 3/4.

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So you just multiply 1/2 times[br]3/4, and this is equal to--

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you multiply the numerators.

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1 times 3 is 3.

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2 times 4 is 8.

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And we're done!

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You need 3/8 of a cup of[br]old-fashioned oats.

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And let's visualize that a[br]little bit, just so it makes a

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little bit more sense.

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Let me draw what 3/4 looks like,[br]or essentially how much

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oats you would need in a normal[br]situation, or if you're

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doing the whole recipe.

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So let me draw.

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Let's say this represents a[br]whole cup, and if we put it

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into fourths-- let me divide[br]it a little bit better.

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So if we put it into fourths,[br]3/4 would represent three of

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these, so it would represent[br]one, two, three.

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It would represent[br]that many oats.

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Now, you want half[br]of this, right?

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Because you're going to make[br]half of the recipe.

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So we can just split[br]this in half.

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Let me do this with[br]a new color.

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So you would normally use this[br]orange amount of oats, but

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we're going to do half the[br]recipe, so you'd want

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half as many oats.

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So you would want[br]this many oats.

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Now, let's think about[br]what that is

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relative to a whole cup.

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Well, one way we can do it is[br]to turn each of these four

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buckets, or these four pieces,[br]or these four sections of a

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cup into eight sections[br]of a cup.

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Let's see what happens[br]when we do that.

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So we're essentially turning[br]each piece, each fourth, into

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two pieces.

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So let's divide each[br]of them into two.

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So this is the first piece.

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We're going to divide it into[br]two right there, so now it is

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two pieces.

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And then this is the second[br]piece right here.

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We divide it into one piece[br]and then two pieces.

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This is the third piece, so[br]we divide it into one, two

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pieces, and this is the fourth[br]piece, or the fourth section,

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and we divide it into[br]two sections.

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Now, what is this as a fraction[br]of the whole?

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Well, we have eight[br]pieces now, right?

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One, two, three, four, five,[br]six, seven, eight, because we

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turned each of the four, we[br]split them again into eight,

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so we have 8 as the denominator,[br]and we took half

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of the 3/4, right?

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Remember, 3/4 was in orange.

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Let me make this very[br]clear because this

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drawing can get confusing.

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This was 3/4 right there.

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So that is 3/4.

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This area in this purple color[br]is 1/2 of the 3/4.

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But let's think about it[br]in terms of the eights.

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How many of these sections[br]of eight is it?

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Well, you have one section of[br]eight here, two sections of

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eight there, three sections[br]of eight, so it is 3/8.

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So hopefully that makes some[br]sense or gives you a more

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tangible feel for what[br]it means when

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you take 1/2 of 3/4.