Which fraction has a repeating decimal as its decimal expansion?
StartFraction 3 Over 19 EndFraction
StartFraction 3 Over 16 EndFraction
StartFraction 3 Over 11 EndFraction
StartFraction 3 Over 8 EndFraction

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Answer:

  3/19, 3/11 are repeating decimals

Step-by-step explanation:

Any fraction with a denominator factor that is something other than 2 or 5 will be a repeating decimal.

  [tex]\boxed{\dfrac{3}{19}=0.\overline{157894736842105263}}\\\\\dfrac{3}{16}=0.1875\\\\\boxed{\dfrac{3}{11}=0.\overline{27}}\\\\\dfrac{3}{8}=0.375[/tex]

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Most calculators will not show the 18-digit repeat of 3/19, since they display fewer digits than that. You have to know that a denominator factor of 19 will result in a repeat that can be as long as 19-1 = 18 digits.

Answer:

C

Step-by-step explanation:

StartFraction 3 Over 11 EndFraction