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  • 25-05-2020
  • Mathematics
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Which of the following fractions is equivalent to a repeating decimal?

A 1/5

B 2/3

C 4/5

D 3/4

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sqdancefan
sqdancefan sqdancefan
  • 25-05-2020

Answer:

  2/3

Step-by-step explanation:

  [tex]\dfrac{1}{5}=0.2\\\\\boxed{\dfrac{2}{3}=0.\overline{6}}\\\\\dfrac{4}{5}=0.8\\\\\dfrac{3}{4}=0.75[/tex]

The fraction that results in a repeating decimal is 2/3.

_____

Comment on repeating decimals

Any fraction with a denominator factor other than 2 or 5 will be a repeating decimal fraction. The repeat may be as long as 1 less than the denominator. For example, 1/7 has a 6-digit repeat; 1/19 has an 18-digit repeat.

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