PLEASE HELP 2 1/2 times 8/9

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PLEASE HELP 2 1/2 times 8/9

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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are you able to convert `2 1/2` to an improper fraction?
yes
I did that

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Other answers:

what is `2 1/2` equal to
5/2
good
so you really have 5/2 times 8/9
yes.
multiply straight across (the numerators pair up and multiply; so do the denominators)
after multiplying, reduce as much as possible
40/18? then reduce right?
correct
20/9
very good
optionally you can convert that result to a mixed number
but when i tried to turn back into a mixed number but it is a never ending 2.2222222222
break that decimal into 2 parts the whole part which is 2 (left of the decimal) the fractional part which is 0.2222 repeating (right of the decimal)
the decimal part 0.2222 gets multiplied with the denominator of 9 to get roughly 0.22222*9 = 1.99998 which is effectively 2 (there's a bit of rounding error) so 2.222222... = 2 2/9
if you had something like 3.2222222..., then 3.2222222... = 3 2/9 or if you had 7.2222222..., then 7.2222222... = 7 2/9 and so on
or you can think of it like this \[\Large \frac{20}{9} = \color{red}{2} \text{ remainder } \color{blue}{2}\] \[\Large \frac{20}{9} = \color{red}{2} \frac{\color{blue}{2}}{9}\]
so 2 2/9 is my final answer?
yes if they want the answer as a mixed number
okay! Thank you so much!
glad to be of help
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