shelby71403
shelby71403 shelby71403
  • 25-08-2016
  • Mathematics
contestada

write $2.161616 as a fraction and as a mixed number.

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caseyjdishroon
caseyjdishroon caseyjdishroon
  • 25-08-2016
the answer is going to be 2 10101/62500
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olemakpadu
olemakpadu olemakpadu
  • 25-08-2016
2.161616....


2 + 0.161616....

When you see a recurring decimal, the number 9 should come to mind.

If we have: 0.1111.... the fraction is  1/9

If we have: 0.2222.... the fraction is  2/9

If we have: 0.3333.... the fraction is  3/9

But since it is two digits that are recurring: 0.161616... the fraction =  16 / 99

Therefore $2.161616 as fraction =   $2   16/99

As mixed  =   (2*99 + 16)/99 =    214/99        = $214/99
Answer Link

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