Question

Which fractions have a decimal equivalent to a repeating decimal

Answer 1

Answer: 19/3

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.

Answer 2

`\bold{Hello!}\\\bold{Your~Answer~Is~Below!}`

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`\bold{Solution~Steps:}`

`1.)~Turn~the~fraction~into~a~decimal:`

• 
  `\bold{Reduce~the~fraction~(13)/(65)~to~lowest~terms~by~finding~the~GCF.}`

• 
  `\bold{13}` ÷
  `\bold{13=1}`

• 
  `\bold{65}` ÷
  `\bold{13=5}`

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  `\bold{(1)/(5)=0.2}`

`2.)~Turn~the~fraction~into~a~decimal:`

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  `\bold{Divide~(141)/(47) .}`

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  `\bold{141}` ÷
  `\bold{47=3}`

• 
  `\bold{3=3}`

`3.)~Turn~the~fraction~into~a~decimal:`

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  `\bold{Divide~(11)/(12) .}`

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  `\bold{11}` ÷
  `\bold{12=0.916666667}`

• 
  `\bold{0.916666666=R.epeating.}`

`4.)~Turn~the~fraction~into~a~decimal:`

• 
  `\bold{Divide~(19)/(3).}`

• 
  `\bold{19}` ÷
  `\bold{3=6.33333333}`

• 
  `\bold{6.33333333=R.epeating.}`

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`\bold{Answer:}`

• 
  `\bold{The~R.epeating~decimals~are:(11)/(12),(19)/(3).}`

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`\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}`