KaloeMalia
  • KaloeMalia
PLEASE HELP 2 1/2 times 8/9
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
jim_thompson5910
  • jim_thompson5910
are you able to convert `2 1/2` to an improper fraction?
KaloeMalia
  • KaloeMalia
yes
KaloeMalia
  • KaloeMalia
I did that

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More answers

jim_thompson5910
  • jim_thompson5910
what is `2 1/2` equal to
KaloeMalia
  • KaloeMalia
5/2
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
so you really have 5/2 times 8/9
KaloeMalia
  • KaloeMalia
yes.
jim_thompson5910
  • jim_thompson5910
multiply straight across (the numerators pair up and multiply; so do the denominators)
jim_thompson5910
  • jim_thompson5910
after multiplying, reduce as much as possible
KaloeMalia
  • KaloeMalia
40/18? then reduce right?
jim_thompson5910
  • jim_thompson5910
correct
KaloeMalia
  • KaloeMalia
20/9
jim_thompson5910
  • jim_thompson5910
very good
jim_thompson5910
  • jim_thompson5910
optionally you can convert that result to a mixed number
KaloeMalia
  • KaloeMalia
but when i tried to turn back into a mixed number but it is a never ending 2.2222222222
jim_thompson5910
  • jim_thompson5910
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)
jim_thompson5910
  • jim_thompson5910
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
jim_thompson5910
  • jim_thompson5910
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
jim_thompson5910
  • jim_thompson5910
or you can think of it like this \[\Large \frac{20}{9} = \color{red}{2} \text{ remainder } \color{blue}{2}\] \[\Large \frac{20}{9} = \color{red}{2} \frac{\color{blue}{2}}{9}\]
KaloeMalia
  • KaloeMalia
so 2 2/9 is my final answer?
jim_thompson5910
  • jim_thompson5910
yes if they want the answer as a mixed number
KaloeMalia
  • KaloeMalia
okay! Thank you so much!
jim_thompson5910
  • jim_thompson5910
glad to be of help
mathstudent55
  • mathstudent55
|dw:1440987970237:dw|
mathstudent55
  • mathstudent55
|dw:1440988034866:dw|

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