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KaloeMalia

  • one year ago

PLEASE HELP 2 1/2 times 8/9

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  1. jim_thompson5910
    • one year ago
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    are you able to convert `2 1/2` to an improper fraction?

  2. KaloeMalia
    • one year ago
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    yes

  3. KaloeMalia
    • one year ago
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    I did that

  4. jim_thompson5910
    • one year ago
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    what is `2 1/2` equal to

  5. KaloeMalia
    • one year ago
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    5/2

  6. jim_thompson5910
    • one year ago
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    good

  7. jim_thompson5910
    • one year ago
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    so you really have 5/2 times 8/9

  8. KaloeMalia
    • one year ago
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    yes.

  9. jim_thompson5910
    • one year ago
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    multiply straight across (the numerators pair up and multiply; so do the denominators)

  10. jim_thompson5910
    • one year ago
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    after multiplying, reduce as much as possible

  11. KaloeMalia
    • one year ago
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    40/18? then reduce right?

  12. jim_thompson5910
    • one year ago
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    correct

  13. KaloeMalia
    • one year ago
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    20/9

  14. jim_thompson5910
    • one year ago
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    very good

  15. jim_thompson5910
    • one year ago
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    optionally you can convert that result to a mixed number

  16. KaloeMalia
    • one year ago
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    but when i tried to turn back into a mixed number but it is a never ending 2.2222222222

  17. jim_thompson5910
    • one year ago
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    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)

  18. jim_thompson5910
    • one year ago
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    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

  19. jim_thompson5910
    • one year ago
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    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

  20. jim_thompson5910
    • one year ago
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    or you can think of it like this \[\Large \frac{20}{9} = \color{red}{2} \text{ remainder } \color{blue}{2}\] \[\Large \frac{20}{9} = \color{red}{2} \frac{\color{blue}{2}}{9}\]

  21. KaloeMalia
    • one year ago
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    so 2 2/9 is my final answer?

  22. jim_thompson5910
    • one year ago
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    yes if they want the answer as a mixed number

  23. KaloeMalia
    • one year ago
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    okay! Thank you so much!

  24. jim_thompson5910
    • one year ago
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    glad to be of help

  25. mathstudent55
    • one year ago
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    |dw:1440987970237:dw|

  26. mathstudent55
    • one year ago
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    |dw:1440988034866:dw|

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