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Mathematics 19 Online
Acolgrove:

Rachel bought 6 pounds of dried fruit. If 1/3 of the fruit was dried apricots, how many pounds of dried apricots did she buy? 61/12 pounds 2 1/12pounds 2 1/4pounds 2 1\6 pounds

Acolgrove:

@Maxine

Hero:

I'd like to see the original source of this question. Would you mind taking a picture of it and uploading it here?

Acolgrove:

sure

Acolgrove:

1 attachment
Hero:

Ah, so it was \(6 + \dfrac{1}{4}\) pounds of dried fruit, and not just 6 pounds

Acolgrove:

oh yes sorry my coputer exted it out

Hero:

So what operation do you think we have to perform to solve this problem? Addition, Subtraction, Multiplication, or Division?

Acolgrove:

multiplcation

Hero:

That is correct and do you have any idea how we might set up the multiplication?

Acolgrove:

we would have to multipy 6 1/4 and 13 toghter

Hero:

Yes, you are correct on that as well, but how do we set that up exactly? Free free to use the drawing board to show this.

Acolgrove:

okay

Acolgrove:

|dw:1604081153352:dw|

Acolgrove:

sorry thats really bad

Hero:

I like to write it as |dw:1604081212754:dw|

Acolgrove:

yeah thats way neater to lol

Hero:

Reason being, you can easily apply the distributive property to this and you don't have to convert the mixed fraction to improper fraction.

Hero:

Do you think you can try evaluating the expression from here?

Acolgrove:

thank u

Hero:

Can you show your work here please? I won't know you have it correct unless you show your work.

Acolgrove:

okay

Acolgrove:

|dw:1604081651611:dw|

Acolgrove:

is that correct

darkknight:

what is your answer? 6 and 1/12? because if so then no it isn't

Acolgrove:

its is 6 1/12

darkknight:

no, how did you get that? did you apply the distributive property that hero said earlier?

Acolgrove:

i was not sure how to do that

darkknight:

Then you should ask. so we have 1/3)(6+1/4) now we distribute. 1/3 times 6 is 2, and 1/3 times 1/4 is 1/12. Add 2 and 1/12 together and you get your answer

Acolgrove:

thx

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