3 years ago

Which fraction is equivalent to that number? HELP NEEDED ASAP

Mathematics

1 answer:

solong [7]3 years ago

6 0

Answer:

2/3

Step-by-step 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

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