0:00:00.420,0:00:04.340
We're asked to multiply 5/6[br]times 2/3 and then simplify

0:00:04.340,0:00:05.570
our answer.

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So let's just multiply[br]these two numbers.

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So we have 5/6 times 2/3.

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Now when you're multiplying[br]fractions, it's actually a

0:00:15.030,0:00:17.470
pretty straightforward[br]process.

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The new numerator, or the[br]numerator of the product, is

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just the product of the two[br]numerators, or your new top

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number is a product of the[br]other two top numbers.

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So the numerator in our product[br]is just 5 times 2.

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So it's equal to 5 times 2 over[br]6 times 3, which is equal

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to-- 5 times 2 is 10 and[br]6 times 3 is 18, so

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it's equal to 10/18.

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And you could view this as[br]either 2/3 of 5/6 or 5/6 of

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2/3, depending on how you[br]want to think about it.

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And this is the right answer.

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It is 10/18, but when you look[br]at these two numbers, you

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immediately or you might[br]immediately see that they

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share some common factors.

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They're both divisible by 2,[br]so if we want it in lowest

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terms, we want to divide[br]them both by 2.

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So divide 10 by 2, divide 18 by[br]2, and you get 10 divided

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by 2 is 5, 18 divided[br]by 2 is 9.

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Now, you could have essentially[br]done this step

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earlier on.

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You could've done it actually[br]before we did the

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multiplication.

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You could've done[br]it over here.

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You could've said, well, I have[br]a 2 in the numerator and

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I have something divisible by 2[br]into the denominator, so let

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me divide the numerator by[br]2, and this becomes a 1.

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Let me divide the denominator[br]by 2, and this becomes a 3.

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And then you have 5 times 1[br]is 5, and 3 times 3 is 9.

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So it's really the same thing[br]we did right here.

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We just did it before we[br]actually took the product.

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You could actually[br]do it right here.

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So if you did it right over[br]here, you'd say, well, look, 6

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times 3 is eventually going[br]to be the denominator.

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5 times 2 is eventually going[br]to be the numerator.

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So let's divide the numerator by[br]2, so this will become a 1.

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Let's divide the denominator[br]by 2.

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This is divisible by 2,[br]so that'll become a 3.

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And it'll become 5 times 1[br]is 5 and 3 times 3 is 9.

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So either way you do[br]it, it'll work.

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If you do it this way, you get[br]to see the things factored out

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a little bit more, so it's[br]usually easier to recognize

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what's divisible by what, or you[br]could do it at the end and

0:02:23.200,0:02:25.400
put things in lowest terms.