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

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of old-fashioned oats.

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You are making 1/2 of the recipe.

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How much oats should you use?

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

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you're making half of the recipe, you want

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half of 3/4, right?

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You want half of the number of 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 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 old-fashioned oats.

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And let's visualize that a 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, or essentially how much

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oats you would need in a normal 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 whole cup, and if we put it

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

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

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these, so it would represent one, two, three.

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It would represent that many oats.

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Now, you want half of this, right?

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

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So we can just split this in half.

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Let me do this with a new color.

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

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

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half as many oats.

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So you would want this many oats.

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Now, let's think about what that is

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relative to a whole cup.

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

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buckets, or these four pieces, or these four sections of a

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cup into eight sections of a cup.

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Let's see what happens when we do that.

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So we're essentially turning each piece, each fourth, into

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two pieces.

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So let's divide each 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 two right there, so now it is

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two pieces.

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And then this is the second piece right here.

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We divide it into one piece and then two pieces.

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

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pieces, and this is the fourth piece, or the fourth section,

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and we divide it into two sections.

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

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Well, we have eight pieces now, right?

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One, two, three, four, five, six, seven, eight, because we

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

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so we have 8 as the denominator, 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 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 is 1/2 of the 3/4.

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

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How many of these sections of eight is it?

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Well, you have one section of eight here, two sections of

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

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So hopefully that makes some sense or gives you a more

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tangible feel for what it means when

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you take 1/2 of 3/4.

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