Respuesta :
Answer:
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The correct answer is: " [tex]\frac{2}{3}[/tex] " .
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Note: Let's assume that this given decimal value is really:
"0.66666666666666666....." ;
(non-terminating; but repeating the singing digit, "7" ; yet rounded to:
" 0.66666667 " ;
then: " 0.666... " = [tex]\frac{666}{999}[/tex] ;
= (666 ÷ 111) / (999 ÷ 111) ;
= 6/9 ;
= (6÷3)/(9÷3) ;
= 2/3 ;
= " [tex]\frac{2}{3}[/tex] "
→ which is our answer.
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Or: " 0.6666... " = 666 ÷ 999 = ? ;
using calculator :
= 0.66666667 ;
→ which is the "rounded off" number of "0.6666..." ;
— (infinitely repeating) ;
→ So 666 ÷ 999 =
→ " [tex]\frac{666}{999}[/tex] " ;
= " [tex]\frac{2}{3}[/tex] " ;
→ Either use a "fraction calculator" ;
or simplify as aforementioned.
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Hope this answer is helpful to you!
Best wishes to you in your academic pursuits
— and within the "Brainly" community!
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Answer:
2/3
Step-by-step explanation:
The correct answer would be 2/3. Since .333333334 is 1/3 since if you divided 1 over 3 it would be .33334. And since 0.6666 is double that you would just add one more number to the numerator!
I hope this helps! Please mark as brainliest! Good luck! :D
