anonymous
  • anonymous
convert recurring decimal 6.838383 into a fraction
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Did you learn anything?
anonymous
  • anonymous
nop not really it was too much and confusing
anonymous
  • anonymous
plus thats a differrent question

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anonymous
  • anonymous
It's no different than the earlier one if you follow the same steps
anonymous
  • anonymous
i copied it anyway
anonymous
  • anonymous
it is cuz it doesnt start with zero
anonymous
  • anonymous
That's where you utilize your thinking skills
anonymous
  • anonymous
What grade are you?
anonymous
  • anonymous
I'll walk you through it. The idea is to get rid of the repeated decimals by multiplying by 10s or 100s
anonymous
  • anonymous
okay thanks
anonymous
  • anonymous
suppose x=6.8383
anonymous
  • anonymous
what's 10x?
anonymous
  • anonymous
68.838383?
anonymous
  • anonymous
No. How did you get that?
anonymous
  • anonymous
dont you multiply it by 10
anonymous
  • anonymous
you did that on the first one
anonymous
  • anonymous
Yes, but that's not the same thing. Multiply 6.8383 by 10
anonymous
  • anonymous
yeah
anonymous
  • anonymous
what do you get?
anonymous
  • anonymous
i got the answer 68.383
anonymous
  • anonymous
okay
anonymous
  • anonymous
so we have (1), x=6.8383 (2),10x=68.3838 Right? Subtract and you'll get: 9x=?
anonymous
  • anonymous
hmmm
anonymous
  • anonymous
You realize you still have the decimals. so you try 100
anonymous
  • anonymous
->100x=683.8383
anonymous
  • anonymous
okay
anonymous
  • anonymous
Remember the idea is to get rid of the decimals right
anonymous
  • anonymous
683.8383 or 68.3838
anonymous
  • anonymous
x=6.8383 100x=683.8383
anonymous
  • anonymous
okay
anonymous
  • anonymous
Now subtract and you'll get: 99x=?
anonymous
  • anonymous
You subtract like terms: so 100x-x=99x 683.8383-6.8383=?
anonymous
  • anonymous
okay
anonymous
  • anonymous
I want you give the answer
anonymous
  • anonymous
677
anonymous
  • anonymous
okay. So this means, 99x=677 therefore x=?
anonymous
  • anonymous
6.8383?
anonymous
  • anonymous
really?
anonymous
  • anonymous
i dont know haha i swear i cant get it like i dont know what your question is
anonymous
  • anonymous
99x=677 so what is x?
anonymous
  • anonymous
99? 677?
anonymous
  • anonymous
What grade are you again?
anonymous
  • anonymous
why would you ask
anonymous
  • anonymous
So I know what level math you are and how best to help you
anonymous
  • anonymous
are you a teacher?
anonymous
  • anonymous
10th
anonymous
  • anonymous
No I'm not a teacher by profession. But why would you lie?
anonymous
  • anonymous
lie about what?
anonymous
  • anonymous
well, the answer you look for is 677/99
anonymous
  • anonymous
677/99=6.8383..

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