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coolestsmoothie

Actually Maddie1261, it can be converted into an improper fraction and/or mixed number.

Steps:

  1. Set the decimal to "x". x[tex]x=.161616[/tex] (It makes it much easier to leave the 2 out for now.)
  2. Multiply the whole equation by the place value. [tex](100)x=.161616(100)[/tex] (I multiplied it by 100 because the first 6 is in the hundredths.
  3. Simplify. [tex]100x=16.161616[/tex]
  4. Subtract equations. [tex]100x-x=99x[/tex] & [tex]16.161616-.161616=16[/tex]
  5. Solve. [tex]\frac{99x}{99}=\frac{16}{99}[/tex] (The [tex]\frac{99x}{99}[/tex] crosses out, because [tex]99x-99=1x=x[/tex].)
  6. [tex]x=16/99[/tex]

Since you now have the fraction form of .161616, you can add the 2. So, the improper fraction form of 2.161616 is [tex]\frac{214}{99}[/tex], and the mixed number form is [tex]2\frac{16}{99}[/tex].

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