114k views
4 votes
Which fraction is equivalent to that number? HELP NEEDED ASAP

Which fraction is equivalent to that number? HELP NEEDED ASAP-example-1
User Ironmouse
by
7.9k points

1 Answer

3 votes

Answer:

2/3

Explanation:

Let n = the repeating, non-terminating number 0.666...

We now have n = 0.666666...

We want the number n in the form of a fraction.

Since only 1 digit repeats, the 6, use a 1 followed by 1 zero, which means the number 10. Now multiply both sides by 10 and write the original equation below it.

10n = 6.666666...

n = 0.666666...

Subtract the bottom equation from the top equation.

9n = 6

n = 6/9

n = 2/3

User Dasf
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories