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3 years ago

0.66666667 as a fraction

Mathematics

2 answers:

Ierofanga [76]3 years ago

7 0

Answer:

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The correct answer is: " $\frac{2}{3}$ " .

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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... " = $\frac{666}{999}$ ;

= (666 ÷ 111) / (999 ÷ 111) ;

= 6/9 ;

= (6÷3)/(9÷3) ;

= 2/3 ;

= " $\frac{2}{3}$ "

→ 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 =

→ " $\frac{666}{999}$ " ;

= " $\frac{2}{3}$ " ;

→ 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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erastova [34]3 years ago

5 0

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

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