13. -11 points SCalcET8 11.2.051. Express the number as a ratio of integers. 0.6 0.6666 Watch It Talk to a Tutor Need H...

Question

Question

13. -11 points SCalcET8 11.2.051. Express the number as a ratio of integers. 0.6 0.6666 Watch It Talk to a Tutor Need Help? R

math calculus

Answer 1

Answer #1

Let Number (N) = 0.6666...

N = 0.666.... (1)

Multiply 10 to both sides we get

10N = 6.6666.... (2)

Subtract the first equation(1) from the second(2)

we get,

10N - N = 6.6666.... - 0.6666.....

9N = 6

so, N = 6/9

N = 2/3

Hence 0.6666.... = 2/3 (ANS)

0.6666 2/3

Answer 2

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