Question

PLEASE HELP
2 1/2 times 8/9

Answer 1

are you able to convert `2 1/2` to an improper fraction?

Answer 2

yes

Answer 3

I did that

Answer 4

what is `2 1/2` equal to

Answer 5

5/2

Answer 6

good

Answer 7

so you really have 5/2 times 8/9

Answer 8

yes.

Answer 9

multiply straight across (the numerators pair up and multiply; so do the denominators)

Answer 10

after multiplying, reduce as much as possible

Answer 11

40/18? then reduce right?

Answer 12

correct

Answer 13

20/9

Answer 14

very good

Answer 15

optionally you can convert that result to a mixed number

Answer 16

but when i tried to turn back into a mixed number but it is a never ending 2.2222222222

Answer 17

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)

Answer 18

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

Answer 19

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

Answer 20

or you can think of it like this

\[\Large \frac{20}{9} = \color{red}{2} \text{ remainder } \color{blue}{2}\]

\[\Large \frac{20}{9} = \color{red}{2} \frac{\color{blue}{2}}{9}\]

Answer 21

so 2 2/9 is my final answer?

Answer 22

yes if they want the answer as a mixed number

Answer 23

okay! Thank you so much!

Answer 24

glad to be of help