Respuesta :

abagalecoleman

Answer: 19/3

Step-by-step explanation:

If you want to find which have a decimal equivalent to a repeating decimal, all you have to do is divide each one and see which turns out to be a repeating decimal. 19 divided by 3 is 6.333333333 repeating, so it would be a repeating decimal. This is easiest to do with a calculator, but it is also important to learn how to do it by hand.

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

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 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Turn~the~fraction~into~a~decimal:[/tex]

  • [tex]\bold{Reduce~the~fraction~\frac{13}{65}~to~lowest~terms~by~finding~the~GCF.}[/tex]
  • [tex]\bold{13}[/tex] ÷ [tex]\bold{13=1}[/tex]
  • [tex]\bold{65}[/tex] ÷ [tex]\bold{13=5}[/tex]
  • [tex]\bold{\frac{1}{5}=0.2}[/tex]

[tex]2.)~Turn~the~fraction~into~a~decimal:[/tex]

  • [tex]\bold{Divide~\frac{141}{47} .}[/tex]
  • [tex]\bold{141}[/tex] ÷ [tex]\bold{47=3}[/tex]
  • [tex]\bold{3=3}[/tex]

[tex]3.)~Turn~the~fraction~into~a~decimal:[/tex]

  • [tex]\bold{Divide~\frac{11}{12} .}[/tex]
  • [tex]\bold{11}[/tex] ÷ [tex]\bold{12=0.916666667}[/tex]
  • [tex]\bold{0.916666666=R.epeating.}[/tex]

[tex]4.)~Turn~the~fraction~into~a~decimal:[/tex]

  • [tex]\bold{Divide~\frac{19}{3}.}[/tex]
  • [tex]\bold{19}[/tex] ÷ [tex]\bold{3=6.33333333}[/tex]
  • [tex]\bold{6.33333333=R.epeating.}[/tex]

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 [tex]\bold{Answer:}[/tex]

  • [tex]\bold{The~R.epeating~decimals~are:\frac{11}{12},\frac{19}{3}.}[/tex]

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 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]

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