JakeFromStateFarm69
JakeFromStateFarm69 JakeFromStateFarm69
  • 25-08-2020
  • Mathematics
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What is 0.895 repeating simplified in a fraction

What is 0895 repeating simplified in a fraction class=

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sqdancefan
sqdancefan sqdancefan
  • 27-08-2020

Answer:

  [tex]\dfrac{887}{990}[/tex]

Step-by-step explanation:

Multiply by 100, subtract the original and divide the result by 99.

  [tex]x=0.8\overline{95}\\100x=89.5\overline{95}\\100x-x=89.5\overline{95}-0.8\overline{95}=88.7\\99x=88.7\\\\x=\dfrac{88.7}{99}=\boxed{\dfrac{887}{990}}[/tex]

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